Finding the Fourth Proportional to 9,155.33, 12,633.86 and 5,176.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,155.33 : 12,633.86 = 5,176.20 : x
2. Step 2: Convert to fraction form
   9,155.33/12,633.86 = 5,176.20/x
3. Step 3: Cross multiply
   9,155.33x = 12,633.86 × 5,176.20
4. Step 4: Simplify right side
   9,155.33x = 65,395,399.07
5. Step 5: Solve for x
   x = 65,395,399.07/9,155.33
6. Step 6: Final answer
   x = 7,142.88