Finding the Fourth Proportional to 9,116.92, 12,576.90 and 5,758.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.92 : 12,576.90 = 5,758.12 : x
2. Step 2: Convert to fraction form
   9,116.92/12,576.90 = 5,758.12/x
3. Step 3: Cross multiply
   9,116.92x = 12,576.90 × 5,758.12
4. Step 4: Simplify right side
   9,116.92x = 72,419,299.43
5. Step 5: Solve for x
   x = 72,419,299.43/9,116.92
6. Step 6: Final answer
   x = 7,943.40