Finding the Fourth Proportional to 9,142.92, 12,617.24 and 5,164.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.92 : 12,617.24 = 5,164.29 : x
2. Step 2: Convert to fraction form
   9,142.92/12,617.24 = 5,164.29/x
3. Step 3: Cross multiply
   9,142.92x = 12,617.24 × 5,164.29
4. Step 4: Simplify right side
   9,142.92x = 65,159,060.54
5. Step 5: Solve for x
   x = 65,159,060.54/9,142.92
6. Step 6: Final answer
   x = 7,126.72