Finding the Fourth Proportional to 2,568.82, 3,834.64 and 2,257.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,568.82 : 3,834.64 = 2,257.42 : x
2. Step 2: Convert to fraction form
   2,568.82/3,834.64 = 2,257.42/x
3. Step 3: Cross multiply
   2,568.82x = 3,834.64 × 2,257.42
4. Step 4: Simplify right side
   2,568.82x = 8,656,393.03
5. Step 5: Solve for x
   x = 8,656,393.03/2,568.82
6. Step 6: Final answer
   x = 3,369.79