Finding the Fourth Proportional to 9,116.67, 12,581.70 and 5,138.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.67 : 12,581.70 = 5,138.16 : x
2. Step 2: Convert to fraction form
   9,116.67/12,581.70 = 5,138.16/x
3. Step 3: Cross multiply
   9,116.67x = 12,581.70 × 5,138.16
4. Step 4: Simplify right side
   9,116.67x = 64,646,787.67
5. Step 5: Solve for x
   x = 64,646,787.67/9,116.67
6. Step 6: Final answer
   x = 7,091.05