Hey Brandon, Scout has a point, the power rating on any panel is in direct sun at sea level and 59 degrees F. I personally think the real problem is that you are trying to start a motor. Any motor that is not a 3 phase AC motor has a "starter winding," that causes it to use from 2 to 3 times its normal power usage for just a second or two until it's speed reaches normal RPM. That is what the buzzing sound is you hear from one of the fans. This is also why you can't run a 750 watt motor from a 1000 watt gas driven generator, the motor needs at least 1500 watts to start up.
Try running the small fan again with the panel outside in the clear sun. I'm curious, you said you measured it at .89 W. What kind of a meter were you using? We have panels powering our entire home here, and I have lots of different digital multimeters (DMM's), but none are able to put our calculated DC watts. If it is indeed putting out .89 watts, at 12 volts would normally be .07 amps, but most 12 volt nominal panels have open circuit voltages of 18 volts. In this case .89 watts would equate to .05 amps, well below the fans requirements. Is that panel a "battery maintainer" panel? They are about the size of a shoe box cover that sit on the cars dash and plug into a cigarette lighter to keep the car battery charged. I don't think you'll ever get enough out of one that small to even run the computer fan.
Real Goods catalog has pond pump kits that use a small boat bilge pump and correctly sized panel that can be wired directly together. Generally they use Rule model 360 or similar pumps, which run at 2 amps 12 volts, but the panel is rated at 50 watts, well above the 24 watts the pump is designed to use at steady state when running. You'll probably need a panel that has at least .25 Amp short circuit current rating (I max on the panel data plate) in order to get that fan to start, and it will have to be in good sun. I did read an interesting letter to the editor in Home Power just a month or two ago about someone that wanted to ventilate their crawl space, and figured out that feediing a fan directly with a solar panel was perfect because the fan would only run on sunny, dry days, and be shut down when it rained. They had the specs for the fan and panel they were using, might be worth checking out the article if you can get it.
Good luck Brandon, Rudydoo