Finding the Fourth Proportional to 2,567.42, 3,854.31 and 2,555.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.42 : 3,854.31 = 2,555.57 : x
2. Step 2: Convert to fraction form
   2,567.42/3,854.31 = 2,555.57/x
3. Step 3: Cross multiply
   2,567.42x = 3,854.31 × 2,555.57
4. Step 4: Simplify right side
   2,567.42x = 9,849,959.01
5. Step 5: Solve for x
   x = 9,849,959.01/2,567.42
6. Step 6: Final answer
   x = 3,836.52