Finding the Fourth Proportional to 8,096.92, 12,146.52 and 3,414

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096.92 : 12,146.52 = 3,414 : x
2. Step 2: Convert to fraction form
   8,096.92/12,146.52 = 3,414/x
3. Step 3: Cross multiply
   8,096.92x = 12,146.52 × 3,414
4. Step 4: Simplify right side
   8,096.92x = 41,468,219.28
5. Step 5: Solve for x
   x = 41,468,219.28/8,096.92
6. Step 6: Final answer
   x = 5,121.48