Finding the Fourth Proportional to 2,540.25, 3,807.75 and 1,442.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.25 : 3,807.75 = 1,442.29 : x
2. Step 2: Convert to fraction form
   2,540.25/3,807.75 = 1,442.29/x
3. Step 3: Cross multiply
   2,540.25x = 3,807.75 × 1,442.29
4. Step 4: Simplify right side
   2,540.25x = 5,491,889.92
5. Step 5: Solve for x
   x = 5,491,889.92/2,540.25
6. Step 6: Final answer
   x = 2,161.95