A loan of $$5853$ borrowed today is to be repaid in three equal installments due in one$-$and$-$a$-$half years, three$-$and$-$a$-$half years, and five years, respectively. What is the size of the equal installments if money is worth $6\mathrm{.}7\%$ compounded annually?

The payments are each $

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$