Finding the Fourth Proportional to 9,640.96, 14,456.25 and 5,201.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,640.96 : 14,456.25 = 5,201.01 : x
2. Step 2: Convert to fraction form
   9,640.96/14,456.25 = 5,201.01/x
3. Step 3: Cross multiply
   9,640.96x = 14,456.25 × 5,201.01
4. Step 4: Simplify right side
   9,640.96x = 75,187,002.53
5. Step 5: Solve for x
   x = 75,187,002.53/9,640.96
6. Step 6: Final answer
   x = 7,798.71