4 ohms at 11.4 volts would be 2.85 Amps, and just under 32.5 Watts. But as indicated, very short time, as that immediately starts dropping as the capacitor charges. The resistor would not have time to get hot. I would use a higher value resistor, with longer charge time, because that 2.85 Amps is in addition to the power being used by the 42 LEDs, the 3 fans, and other 4 12V LEDs. That 2.85 Amps is on top of whatever the rest of the circuit (without the capacitors) would draw on startup. And as mentioned, the fans could have increased startup current as well.
All of the numbers coming from ohms law and power law, which combine to create 12 formulas shown on a PIRE wheel.
