To record the musyarakah mutanaqish contract and the financial transactions for each year, we would need to create journal entries for each year. The journal entries for each year based on the given information are:

**Year 1:**

1. Initial capital contributions:

- Bank Al-Burj's contribution (Cash): RM $2,000,000$
- Bank Al-Burj's contribution (Plant and Equipment): RM $4,000,000$
- Nusa Jaya Sdn Bhd's contribution (Remaining capital): RM $6,000,000$ (calculated as $40$% of total project cost)

   Debit: Plant and Equipment (Asset)  RM 4,000,000
   Debit: Cash (Asset)                 RM 2,000,000
   Credit: Nusa Jaya Sdn Bhd (Equity)  RM 6,000,000

2. Record the loss for Year 1:

- Total loss for Year $1$: RM $750,000$

   Debit: Profit and Loss (Expense) RM 750,000
   Credit: Bank Al-Burj (Equity)     RM 300,000 (40% share of the loss)
   Credit: Nusa Jaya Sdn Bhd (Equity) RM 450,000 (60% share of the loss)

**Year 2:**

3. Record the loss for Year $2$:

- Total loss for Year $2$: RM $250,000$

   Debit: Profit and Loss (Expense) RM 250,000
   Credit: Bank Al-Burj (Equity)     RM 100,000 (40% share of the loss)
   Credit: Nusa Jaya Sdn Bhd (Equity) RM 150,000 (60% share of the loss)

**Year 3:**

4. Record the profit for Year $3$:

- Total profit for Year $3$: RM $2,000,000$

   Debit: Bank Al-Burj (Equity)     RM 800,000 (20% share of the profit)
   Debit: Nusa Jaya Sdn Bhd (Equity) RM 1,200,000 (80% share of the profit)
   Credit: Profit and Loss (Revenue) RM 2,000,000

5. Record the financial difficulties in Year $3$ and the outstanding amount:

- Nusa Jaya Sdn Bhd was unable to pay the agreed installment.

   Debit: Bank Al-Burj (Receivable) RM [Amount Outstanding in Year 3]
   Credit: Nusa Jaya Sdn Bhd (Liability) RM [Amount Outstanding in Year 3]

**Year 4:**

6. Record the profit for Year $4$:

- Total profit for Year $4$: RM $3,000,000$

   Debit: Bank Al-Burj (Equity)     RM 600,000 (20% share of the profit)
   Debit: Nusa Jaya Sdn Bhd (Equity) RM 2,400,000 (80% share of the profit)
   Credit: Profit and Loss (Revenue) RM 3,000,000

7. Record the settlement of the outstanding amount for Year $3$ and the Year $4$ installment:

- The outstanding amount from Year $3$ is settled along with the Year $4$ installment.

   Debit: Nusa Jaya Sdn Bhd (Liability) RM [Amount Outstanding in Year 3]
   Debit: Nusa Jaya Sdn Bhd (Liability) RM [Year 4 Installment Amount]
   Credit: Bank Al-Burj (Receivable) RM [Total Amount Settled]

Please note that you should substitute the actual amounts for `[Amount Outstanding in Year 3]`, `[Year 4 Installment Amount]`, and `[Total Amount Settled]` based on the specific numbers in your scenario.