Finding the Fourth Proportional to 9,116.38, 12,580.41 and 5,339.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.38 : 12,580.41 = 5,339.08 : x
2. Step 2: Convert to fraction form
   9,116.38/12,580.41 = 5,339.08/x
3. Step 3: Cross multiply
   9,116.38x = 12,580.41 × 5,339.08
4. Step 4: Simplify right side
   9,116.38x = 67,167,815.42
5. Step 5: Solve for x
   x = 67,167,815.42/9,116.38
6. Step 6: Final answer
   x = 7,367.82