Nine months ago, Muriel agreed to pay Aisha $$1,800$ and $$801$ on dates $6$

and $12$ months, respectively, from the date of the agreement. With each

payment Muriel agreed to pay interest at the rate of $\frac{81}{4}\%$ from the date

of the agreement. Muriel failed to make the first payment and now wishes

to settle her obligations with a single payment four months from now.

What payment should Aisha be willing to accept if money can earn $\frac{61}{2}\%?$

$($Do not round intermediate calculations and round your final answer to

$2$ decimal places.$)$

Payment $