For a normal variable $\displaystyle {X}\sim{N}{\left(\mu={77.9},\sigma={18.38}\right)}$, find $\displaystyle {x}_{{0.45}}$, the value that divides the area under the density curve into 0.55 to the left and 0.45 to the right.

$\displaystyle {x}_{{0.45}}=$  (Round the answer to 2 decimal places)