Finding the Fourth Proportional to 2,552.78, 3,830.25 and 1,442.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.78 : 3,830.25 = 1,442.35 : x
2. Step 2: Convert to fraction form
   2,552.78/3,830.25 = 1,442.35/x
3. Step 3: Cross multiply
   2,552.78x = 3,830.25 × 1,442.35
4. Step 4: Simplify right side
   2,552.78x = 5,524,549.74
5. Step 5: Solve for x
   x = 5,524,549.74/2,552.78
6. Step 6: Final answer
   x = 2,164.13