Measure the base of the fountain with a tape measure to determine the size of the foundation surface needed.
Dig a foundation hole in the position where you wish to place the fountain 4 inches deep using a spade. Make the hole at least 5 inches wider in width or diameter than the base of the fountain. Compress the soil at the bottom of the hole with a tamper.
Create a wooden form for the concrete, using 2-by-4 boards placed on the 2-inch sides and measuring 3 inches greater in diameter than the base of the fountain. Screw the boards together at the joints with wood screws using an electric screwdriver. Place the boards into the hole, lining the walls.
Pour 2 inches of gravel into the hole. Tamp the gravel to compress the material.
Mix the concrete for the foundation in a wheelbarrow. Add water to the dry mix and use the spade to fold the concrete within the wheelbarrow to incorporate the water. Add enough water to create a pourable concrete with an oatmeal consistency.
Scoop the concrete into the form with the spade. Fill the form to the top where it's even with the surface of the ground.
Drag a wood screed across the top of the wood form along the top of the poured concrete to level it off.
Cover the concrete with plastic sheeting and weigh the edges of the sheeting down with bricks. Let the concrete cure for 10 days then remove the sheeting and the wooden forms. Allow it to cure another 20 days and then place the fountain over the new surface foundation.
Fill in the space around the foundation with some of the soil you removed from the foundation hole using the spade