Alysha would like to support the education of her favourite grand$-$nephew, Stephen, who plans to begin university in $3$ years.

How much will Alysha have to invest today, at $4$ percent, to be able to give Stephen $$7,800$ at the end of each year for $4$ years? $($Round answer to $2$ decimal places, e$.$g$.125\mathrm{.}12.$ Do not round your intermediate calculations.$)$