What is the future value of the following cash flows at the end of year $3$ if the interest rate is $6\%?$ The cash flows occur at the end of each year.

$\frac{\text{Y}\text{e}\text{a}\text{r}1}{\text{\$}5,180}\frac{\text{Y}\text{e}\text{a}\text{r}2}{\text{\$}9,600},\frac{\text{Y}\text{e}\text{a}\text{r}3}{\text{\$}2,250}$

A$.$ $$15,916\mathrm{.}78$

B$.$ $$18,109\mathrm{.}08$

C$.$ $$18,246\mathrm{.}25$

D$.$ $$19,341\mathrm{.}02$

E$.$ $$19,608\mathrm{.}07$