Long answer and details
First of all, power cost usually goes in energy units of kW*h (not kW), e.g. $N if you consume 1kW for 1 hour. Then you pay $24N for 1 day. I guess you pay $0.11 per every kW per hour, i.e. $2.64 per day when using 1kW.
Secondly, you can measure power consumption of your server directly. Google Kill-a-Watt device or get yourself a "metered PDU". You can find more info about these things on the internet. You can stress your computer to see what are limits of power consumption, google "PC stress test".
Thirdly, there are some online power calculators. You can find one by looking for "Power supply calculator" or likes. There you fill a questionnaire and get rough estimate of power consumption.
Finally, remember that your PSU efficiency changes with utilization. Server using 950W on 1000W power supply rated output might use 1100W out of the source (efficiency ~90%). But if PSU uses only 500W, it could use 600W from the wall (85% efficiency). Match your PSU with your needs.
Another final note is about your system. Do you use UPS? If so you have an option of running UPS with 208V output. I might be wrong, but maybe UPS with 208V output runs more efficiently than UPS with 110V output. Even if both were plugged into same 110V wall source.
Short answer
Worst-case scenario (100% utilization with 90% efficiency) you will pay $8 per day. Because your PSU total power consumption is around 3kW tops, per day it goes 3kW*$0.11/(kW*hr)*24hrs=$7.9