Loan to be repaid with the interest of the last payment given

A $60$-month loan is too be repaid with level payments of $1000$ at the end of each month. The interest in the last payment is $7.44$. Calculate the total interest paid over the life of the loan.

Let effective interest be $j$.

I tried finding the outstanding loan balance after 59 payments using the prospective method.

$B_{59|j}^p=1000[\frac{1-(1+j)^{-59}}{j}]$

Interest = $7.44$

Letting L=loan amount and P=Payment

$7.44=L-1000\frac{1-(1+j)^{-59}}{j}$

$L=Pa_{60|j}=1000[\frac{1-(1+j)^-60}{j}]$

$7.44=1000[\frac{1-(1+j)^-60}{j}]-1000\frac{1-(1+j)^{-59}}{j}$

Rearranging the above,

$(1+j)^{-60}=0.00794$

$\therefore, j=0.0839$

Hence replace $j=0.0839$ in L.

$1000[\frac{1-(1.0839)^-60}{0.0839}]=11, 824.31$