Finding the Fourth Proportional to 2,552, 3,825.72 and 1,454.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552 : 3,825.72 = 1,454.78 : x
2. Step 2: Convert to fraction form
   2,552/3,825.72 = 1,454.78/x
3. Step 3: Cross multiply
   2,552x = 3,825.72 × 1,454.78
4. Step 4: Simplify right side
   2,552x = 5,565,580.94
5. Step 5: Solve for x
   x = 5,565,580.94/2,552
6. Step 6: Final answer
   x = 2,180.87