John wants to buy a new sports car, and he estimates that he'll need to make a $\$3{,}000.00$ down payment towards his purchase. If he has $16$ months to save up for the new car, how much should he deposit into his account if the account earns $4.289 \%$ compounded continuously so that he may reach his goal?

John needs to deposit .

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