Finding the Fourth Proportional to 9,116.31, 12,580.25 and 5,137.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.31 : 12,580.25 = 5,137.18 : x
2. Step 2: Convert to fraction form
   9,116.31/12,580.25 = 5,137.18/x
3. Step 3: Cross multiply
   9,116.31x = 12,580.25 × 5,137.18
4. Step 4: Simplify right side
   9,116.31x = 64,627,008.70
5. Step 5: Solve for x
   x = 64,627,008.70/9,116.31
6. Step 6: Final answer
   x = 7,089.16