What is the frequency deviation for a 12.21 MHz reactance modulated oscillator in a 5 kHz deviation, 146.52 MHz FM phone transmitter?

In an FM transmitter, frequency multiplier circuits are used to increase the initial oscillator frequency up to the final operating frequency. When the frequency is multiplied, the frequency deviation is multiplied by the exact same factor. First, determine the multiplication factor by dividing the final operating frequency by the oscillator frequency: 146.52 MHz / 12.21 MHz = 12. This means the transmitter multiplies the original signal 12 times. To find the deviation required at the oscillator stage, you must work backward by dividing the final desired deviation by that multiplication factor. Convert 5 kHz to 5000 Hz, then divide by 12: 5000 Hz / 12 = 416.66 Hz, which rounds to 416.7 Hz.