Finding the Fourth Proportional to 10,359.94, 14,296.80 and 5,644.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.94 : 14,296.80 = 5,644.22 : x
2. Step 2: Convert to fraction form
   10,359.94/14,296.80 = 5,644.22/x
3. Step 3: Cross multiply
   10,359.94x = 14,296.80 × 5,644.22
4. Step 4: Simplify right side
   10,359.94x = 80,694,284.50
5. Step 5: Solve for x
   x = 80,694,284.50/10,359.94
6. Step 6: Final answer
   x = 7,789.07