Finding the Fourth Proportional to 2,565.81, 3,540.76 and 1,446.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.81 : 3,540.76 = 1,446.71 : x
2. Step 2: Convert to fraction form
   2,565.81/3,540.76 = 1,446.71/x
3. Step 3: Cross multiply
   2,565.81x = 3,540.76 × 1,446.71
4. Step 4: Simplify right side
   2,565.81x = 5,122,431.58
5. Step 5: Solve for x
   x = 5,122,431.58/2,565.81
6. Step 6: Final answer
   x = 1,996.42