Dan borrowed $$1189\mathrm{.}00$ today and is to repay the loan in two equal payments. The first payment is in four months, and the second payment is in eleven months. If interest is $5\%$ per annum on the loan, what is the size of the equal payments? Use today as the focal date.

The size of the equal payments is $

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