Loan payments of $$700$ due three months ago and of $$1000$ due today are to be paid by a payment of $$800$ in two months and a final payment in five months. If $9\%$ interest is allowed, and the focal date is five months from now, what is the amount of the final payment?

The amount of each payment is $ $.$

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$