Assume Danny Carey will receive a series of payments made at the end of years $1,2,4,$ and $5$ of $$1,207,$ $$1,343,$ $$2,940,$ and $$2,504,$ respectively. Compute the total present value $($PV$)$ of the payments if the relevant interest rate is $8$ percent. $($Do not round intermediate calculations and round your final answer to the nearest dollar.$)$