Finding the Fourth Proportional to 9,165.72, 12,651.90 and 5,629.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,165.72 : 12,651.90 = 5,629.26 : x
2. Step 2: Convert to fraction form
   9,165.72/12,651.90 = 5,629.26/x
3. Step 3: Cross multiply
   9,165.72x = 12,651.90 × 5,629.26
4. Step 4: Simplify right side
   9,165.72x = 71,220,834.59
5. Step 5: Solve for x
   x = 71,220,834.59/9,165.72
6. Step 6: Final answer
   x = 7,770.35