Finding the Fourth Proportional to 2,565.57, 3,540.83 and 1,446.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.57 : 3,540.83 = 1,446.75 : x
2. Step 2: Convert to fraction form
   2,565.57/3,540.83 = 1,446.75/x
3. Step 3: Cross multiply
   2,565.57x = 3,540.83 × 1,446.75
4. Step 4: Simplify right side
   2,565.57x = 5,122,688.57
5. Step 5: Solve for x
   x = 5,122,688.57/2,565.57
6. Step 6: Final answer
   x = 1,996.71