Finding the Fourth Proportional to 5,096.12, 7,025.54 and 3,414.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096.12 : 7,025.54 = 3,414.56 : x
2. Step 2: Convert to fraction form
   5,096.12/7,025.54 = 3,414.56/x
3. Step 3: Cross multiply
   5,096.12x = 7,025.54 × 3,414.56
4. Step 4: Simplify right side
   5,096.12x = 23,989,127.86
5. Step 5: Solve for x
   x = 23,989,127.86/5,096.12
6. Step 6: Final answer
   x = 4,707.33