Finding the Fourth Proportional to 2,552.32, 3,825.78 and 1,577.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.32 : 3,825.78 = 1,577.32 : x
2. Step 2: Convert to fraction form
   2,552.32/3,825.78 = 1,577.32/x
3. Step 3: Cross multiply
   2,552.32x = 3,825.78 × 1,577.32
4. Step 4: Simplify right side
   2,552.32x = 6,034,479.31
5. Step 5: Solve for x
   x = 6,034,479.31/2,552.32
6. Step 6: Final answer
   x = 2,364.31