$$T = \frac{1}{f}$$
where \(T\) is the period in seconds and \(f\) is the frequency in Hz.
Given frequency: 88.7 MHz
Converting MHz to Hz:
$$88.7 \ MHz = 88.7 \times 1000000 \ Hz = 88700000 \ Hz$$
Now, we can calculate the period:
$$T = \frac{1}{f} = \frac{1}{88700000 \ Hz} \approx 1.126 \times 10^{-8} \ seconds$$
Therefore, the period of WKTO 88.7 FM is approximately 1.126 x 10^-8 seconds.