Finding the Fourth Proportional to 9,155.60, 12,633.90 and 5,177.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,155.60 : 12,633.90 = 5,177.06 : x
2. Step 2: Convert to fraction form
   9,155.60/12,633.90 = 5,177.06/x
3. Step 3: Cross multiply
   9,155.60x = 12,633.90 × 5,177.06
4. Step 4: Simplify right side
   9,155.60x = 65,406,458.33
5. Step 5: Solve for x
   x = 65,406,458.33/9,155.60
6. Step 6: Final answer
   x = 7,143.87