Finding the Fourth Proportional to 2,568.06, 3,850.47 and 1,414.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,568.06 : 3,850.47 = 1,414.62 : x
2. Step 2: Convert to fraction form
   2,568.06/3,850.47 = 1,414.62/x
3. Step 3: Cross multiply
   2,568.06x = 3,850.47 × 1,414.62
4. Step 4: Simplify right side
   2,568.06x = 5,446,951.87
5. Step 5: Solve for x
   x = 5,446,951.87/2,568.06
6. Step 6: Final answer
   x = 2,121.04