Jack has borrowed $$1,000,000$ from MQ Bank for $10$ years at an interest rate of j$=3\mathrm{.}72\%.$ He will

make $10$ annual repayments. According to the loan agreement, Jack's repayments will be $$86,000$

for the first two years followed by payments of with the amount of X per year for the remaining

eight years. This loan needs to be fully repaid by the end of $10$ years.

$($a$)$ Assume that all annual repayments will be paid at the end of each year $($the first payment will

be at the end of the first year$),$ what is the value of Jacks' annual payment amount X $($rounded to

four decimal places$)?$