Hello,
If each of the four -1701s is processing an independent signal (that is, one's output does not feed another's input), then signals arriving at the DSPs simultaneously will output together (except for any differing delays you put in the programs). If you intend to run the DSPs in cascade (as shown at the top of this thread) it would be better to link them via I2S. This avoids multiple conversions.
If your DSPs are on the same board, sync them by supplying their MCLKI (pin 32) inputs from a common 3.3V packaged oscillator. Place series resistors close to the oscillator as shown at https://ez.analog.com/message/130241#130241
Bob