Finding the Fourth Proportional to 2,565.80, 3,540.88 and 1,446.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.80 : 3,540.88 = 1,446.96 : x
2. Step 2: Convert to fraction form
   2,565.80/3,540.88 = 1,446.96/x
3. Step 3: Cross multiply
   2,565.80x = 3,540.88 × 1,446.96
4. Step 4: Simplify right side
   2,565.80x = 5,123,511.72
5. Step 5: Solve for x
   x = 5,123,511.72/2,565.80
6. Step 6: Final answer
   x = 1,996.85