A man borrows $$8700.$ A payment of $$933$ is made $69$ days later. A second payment of $$1461$ is paid $105$ days after the first payment. A third payment of $x$ is due $37$ days after the second payment, after which the loan balance is $0.$ The loan is charged a simple interest rate of $r=9\mathrm{.}75\%.$ What is $x,$ if the Declining Balance Method is used?

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