Finding the Fourth Proportional to 9,154.69, 12,632.98 and 5,175.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,154.69 : 12,632.98 = 5,175.57 : x
2. Step 2: Convert to fraction form
   9,154.69/12,632.98 = 5,175.57/x
3. Step 3: Cross multiply
   9,154.69x = 12,632.98 × 5,175.57
4. Step 4: Simplify right side
   9,154.69x = 65,382,872.30
5. Step 5: Solve for x
   x = 65,382,872.30/9,154.69
6. Step 6: Final answer
   x = 7,142.01