On April $16,$ Fat Tires Ltd borrowed $$10,000\mathrm{.}00$ with an interest rate of $5\mathrm{.}1\%.$ The loan was repaid in full on October $27,$ with payments of $$2800\mathrm{.}00$ on May $30$ and $$3500\mathrm{.}00$ on August $15.$ What was the final payment?

The final payment was $

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