Sue plans to save $$4,104,$ $$0,$ and $$4,571$ at the end of Years $1$ to $3,$ respectively. What will her investment account be worth at the end of the Year $3$ if she earns an annual rate of $3\mathrm{.}27$ percent?

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

Note: It is highly recommended to use Excel $($or Google Sheets$)$ or a financial calculator to solve this problem.