You want to follow a dollar cost averaging approach to investing and plan to deposit $$223$ at the end of each month for the next $15$ years into an account that earns $12\mathrm{.}3\%,$ compounded monthly. How much will you have in your account at the end of the $15$ years? Submit your final answer rounded to two decimal places $($Ex$.$ $$0\mathrm{.}00.$