A loan is set to be paid with a payment of $$700$ today and $$300$ in $14$ months at $5\mathrm{.}76\%$ interest compounded annually. Due to insufficient funds, the payments are refinanced. A first payment of $$450$ will be made in $6$ months and a final payment in $24$ months. What is the size of the final payment? Use the partial timeline below to help you. State your answer in dollars $($$$)$ with two decimal places.

today $6$ mo $14$ mo $24$ mo

$$700$ $$450$ $$300$ x

Answer: