Your grandfather left you an inheritance that will provide an annual income for the next $23$ years. You will receive the first payment one year from now in the amount of $$3,685.$ Every year after that, the payment amount will increase by $5\mathrm{.}1$ percent. What is your inheritance worth to you today if you can earn $8\mathrm{.}8$ percent on your investments?

$($Do not round the numbers in the middle of the calculation. Round your final answer to two decimal places.$)$