Finding the Fourth Proportional to 9,142.38, 12,616.83 and 5,163.93

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.38 : 12,616.83 = 5,163.93 : x
2. Step 2: Convert to fraction form
   9,142.38/12,616.83 = 5,163.93/x
3. Step 3: Cross multiply
   9,142.38x = 12,616.83 × 5,163.93
4. Step 4: Simplify right side
   9,142.38x = 65,152,426.94
5. Step 5: Solve for x
   x = 65,152,426.94/9,142.38
6. Step 6: Final answer
   x = 7,126.42