  Apsidal motion is a gradual shift in the position of periastron. The impact
of dynamic tides on apsidal motion has long been debated, because the
contribution could not be quantified due to the lack of high quality
observations. KIC 4544587 with tidally excited oscillations has been observed
by \textit{Kepler} high-precision photometric data based on long time baseline
and short-cadence schema. In this paper, we compute the rate of apsidal motion
that arises from the dynamic tides as $19.05\pm 1.70$ mrad yr$^{-1}$ via
tracking the orbital phase shifts of tidally excited oscillations. We also
calculate the procession rate of the orbit due to the Newtonian and general
relativistic contribution as $21.49 \pm 2.8$ and $2.4 \pm 0.06$ mrad yr$^{-1}$,
respectively. The sum of these three factors is in excellent agreement with the
total observational rate of apsidal motion $42.97 \pm 0.18$ mrad yr$^{-1}$
measured by eclipse timing variations. The tidal effect accounts for about 44\%
of the overall observed apsidal motion and is comparable to that of the
Newtonian term. Dynamic tides have a significant contribution to the apsidal
motion. The analysis method mentioned in this paper presents an alternative
approach to measuring the contribution of the dynamic tides quantitatively.
