I used a company called Tokyo Freight Services. My shipment was only 1.2cubic metres and here are the costs.

Clearance QAR 150.00
Inspection QAR 50.00
Customs Entry QAR 75.00
Docs Processing QAR 150.00
Transportation QAR 300.00
Loading/Offloading QAR 200.00
Delivery Order QAR 420.00 as per receipt/ advised in arrival notice

I see in an earlier post you were still looking for a shipper, do you have a shipper now?. All the details will be on your bill of lading with regards to who the shipping company is that will handle your shipment in Qatar. Sometimes the agent in your home country is not the same as in Qatar.