Three payments are scheduled as follows: $$1200$ is due today, $$900$ is due in five months, and $$1500$ is due in eight months. The three payments are to be replaced by a single equivalent payment due ten months from now.

What should the payment be if money is worth $5\mathrm{.}9\%?$ Use ten months from now as the focal date. $($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

Payment