Hi,
The LM3900 was a very different kind of op amp. It operates on the difference in input current rather than the difference in input voltages.
It can not be replaced with a LM324 op amp.
From what i read, the NTE992 is a replacement. The LM359 is a high speed version.
It would be possible however to change the design a little to use a more typical op amp. From the LM3900 data sheet it looks like the three amps with two caps each are just bandpass filters. Redesigning them for other op amps probably wouldnt be much of a problem really.
In fact, grounding the non inverting terminals of the op amps instead of running them to +12 through a resistor would probably allow operation with the LM324 without any further modification. The Q of each bandpass would be a little higher though so you'd have to try it and modify the values slightly if it doesnt seem to work the way you want it to.
We can call the input resistor R1 and the resistor to ground R2 and the feedback resistor R3.
With a Q of 9.95 we can keep the input resistor R1 at 10k for all three op amps and this comes close to the original design.
The passband gain is about 20, so G=20.
The feedback resistor R3 is then:
R3=G*2*R1
and R2 is then:
R2=Q/((2*Q^2-G)*2*pi*f*C)
It looks like the original design kept all the resistors the same and just swapped out the caps for each different channel.
This may not be the ideal setup, but it might still work.