Finding the Fourth Proportional to 9,142.32, 12,616.08 and 5,164.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.32 : 12,616.08 = 5,164.02 : x
2. Step 2: Convert to fraction form
   9,142.32/12,616.08 = 5,164.02/x
3. Step 3: Cross multiply
   9,142.32x = 12,616.08 × 5,164.02
4. Step 4: Simplify right side
   9,142.32x = 65,149,689.44
5. Step 5: Solve for x
   x = 65,149,689.44/9,142.32
6. Step 6: Final answer
   x = 7,126.17