Light emitted by element X passes through a diffraction grating that has $1200$ slits$/$mm$.$The interference pattern is observed on a screen $75\mathrm{.}0$ cm behind the grating. First$-$order maxima are observed at distances of $59\mathrm{.}4$ cm$,66\mathrm{.}1$ cm$,$ and $91\mathrm{.}4$ cm from the central maximum. What are the wavelengths of light emitted by element X$?$