Finding the Fourth Proportional to 9,155.07, 12,633.50 and 5,175.95

Step by Step Solution

1. Step 1: Write the proportion equation
   9,155.07 : 12,633.50 = 5,175.95 : x
2. Step 2: Convert to fraction form
   9,155.07/12,633.50 = 5,175.95/x
3. Step 3: Cross multiply
   9,155.07x = 12,633.50 × 5,175.95
4. Step 4: Simplify right side
   9,155.07x = 65,390,275.28
5. Step 5: Solve for x
   x = 65,390,275.28/9,155.07
6. Step 6: Final answer
   x = 7,142.52