Finding the Fourth Proportional to 9,116.06, 12,581.28 and 5,138.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.06 : 12,581.28 = 5,138.15 : x
2. Step 2: Convert to fraction form
   9,116.06/12,581.28 = 5,138.15/x
3. Step 3: Cross multiply
   9,116.06x = 12,581.28 × 5,138.15
4. Step 4: Simplify right side
   9,116.06x = 64,644,440.93
5. Step 5: Solve for x
   x = 64,644,440.93/9,116.06
6. Step 6: Final answer
   x = 7,091.27