Kaitlyn purchased a $91-$day T$-$Bill that has a face value of $$1002$ and an interest rate of $5\mathrm{.}37\%$ p$.$a$.$

In $46$ days, she needed the money and therefore, sold the T$-$bill to another investor. The rate for this investment in the market was $4\mathrm{.}2\%$ at the time of the sale. Calculate his selling price.

Round to the nearest cent.