Scheduled payments of $$800$ due two months ago and $$1200$ due in one month are to be repaid by a payment of $$1000$ today and the balance in three months. What is the amout of the final payment if interest is $7\mathrm{.}75\%$ the focal date is one month from now?

The amount of the payment is $

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