Jaco wants to buy a new bass guitar which costs $\$2{,}099.99$ plus tax. If his state's sale tax is $8.025 \%$ and he saves for $31$ months, how much should he deposit into a bank account earning an annual interest rate of $2.743 \%$ compounded continuously if he wants to meet his goal?

Jaco needs to deposit .

(Note: Your answer should have a dollar sign and be accurate to two decimal places)