Finding the Fourth Proportional to 9,406.62, 12,980.42 and 5,157

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.62 : 12,980.42 = 5,157 : x
2. Step 2: Convert to fraction form
   9,406.62/12,980.42 = 5,157/x
3. Step 3: Cross multiply
   9,406.62x = 12,980.42 × 5,157
4. Step 4: Simplify right side
   9,406.62x = 66,940,025.94
5. Step 5: Solve for x
   x = 66,940,025.94/9,406.62
6. Step 6: Final answer
   x = 7,116.27