Finding the Fourth Proportional to 9,116.32, 12,580.22 and 5,137.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.32 : 12,580.22 = 5,137.20 : x
2. Step 2: Convert to fraction form
   9,116.32/12,580.22 = 5,137.20/x
3. Step 3: Cross multiply
   9,116.32x = 12,580.22 × 5,137.20
4. Step 4: Simplify right side
   9,116.32x = 64,627,106.18
5. Step 5: Solve for x
   x = 64,627,106.18/9,116.32
6. Step 6: Final answer
   x = 7,089.17