125w tv X 4 hours +
38w dish hopper X 4 hours +
6w modem X 6 hours +
45w laptop X 6 hours +
10 watt LED X 12 hours
===============
500 +
152 +
36 +
270 +
120 =
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1078 wh / day
If you take your 100AH 24v battery down to 50% that leaves 50AH
1078 wh / 24v battery = 45 AH / day
But there is an inefficiency in the following:
Your inverter will be 80-90% efficient so
45 X 1/.8 =56 AH
Your big inverter also consumes power, the specs should show self-consume wattage.
You are a bit over 28%, not too bad.
Your panels and charge controller will need to supply:
56 AH X 1/ 0.86 panel inefficiency X 1 / .95 charge controller inefficiency = 69 AH
69 AH X 24v = 1656 Wh
From before your panels put out 408w
1656/408 = 4 hours
You say you have a marginal 4.5 hours but there is shade. Does that reduce the 4.5? You will need
5 hours to bulk charge + 2-4 hours for absorb.
You are light on charging, and don't forget your huge inverter is potentially a fire hazard.
Check my calcs

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