Finding the Fourth Proportional to 9,308.64, 12,846.12 and 5,116.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,308.64 : 12,846.12 = 5,116.92 : x
2. Step 2: Convert to fraction form
   9,308.64/12,846.12 = 5,116.92/x
3. Step 3: Cross multiply
   9,308.64x = 12,846.12 × 5,116.92
4. Step 4: Simplify right side
   9,308.64x = 65,732,568.35
5. Step 5: Solve for x
   x = 65,732,568.35/9,308.64
6. Step 6: Final answer
   x = 7,061.46