Finding the Fourth Proportional to 9,629.33, 14,417.91 and 5,002.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,629.33 : 14,417.91 = 5,002.61 : x
2. Step 2: Convert to fraction form
   9,629.33/14,417.91 = 5,002.61/x
3. Step 3: Cross multiply
   9,629.33x = 14,417.91 × 5,002.61
4. Step 4: Simplify right side
   9,629.33x = 72,127,108.66
5. Step 5: Solve for x
   x = 72,127,108.66/9,629.33
6. Step 6: Final answer
   x = 7,490.36