Finding the Fourth Proportional to 2,565.32, 3,540.48 and 1,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.32 : 3,540.48 = 1,446.50 : x
2. Step 2: Convert to fraction form
   2,565.32/3,540.48 = 1,446.50/x
3. Step 3: Cross multiply
   2,565.32x = 3,540.48 × 1,446.50
4. Step 4: Simplify right side
   2,565.32x = 5,121,304.32
5. Step 5: Solve for x
   x = 5,121,304.32/2,565.32
6. Step 6: Final answer
   x = 1,996.36