Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same as the payment period. $($Note$.$ A sinking fund is an account created to fund a future expense. It's like a savings account$)$

$$20,059$ to be accumulated in $4$ years; quarterly payments of $$1125$

The interest rate needed is approximately $\%.$

$($Type an integer or decimal rounded to two decimal places as needed.$)$