Finding the Fourth Proportional to 9,158.59, 12,638.77 and 5,180.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,158.59 : 12,638.77 = 5,180.48 : x
2. Step 2: Convert to fraction form
   9,158.59/12,638.77 = 5,180.48/x
3. Step 3: Cross multiply
   9,158.59x = 12,638.77 × 5,180.48
4. Step 4: Simplify right side
   9,158.59x = 65,474,895.21
5. Step 5: Solve for x
   x = 65,474,895.21/9,158.59
6. Step 6: Final answer
   x = 7,149.01