Troy will receive $$8,678$ at the end of Year $2.$ At the end of the following two years, he will receive $$8,260$ and $$2,665,$ respectively. What is the future value of these cash flows at the end of Year $6$ if the interest rate is $4$ percent?

$($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$