Finding the Fourth Proportional to 2,565.86, 3,540.88 and 1,447.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.86 : 3,540.88 = 1,447.08 : x
2. Step 2: Convert to fraction form
   2,565.86/3,540.88 = 1,447.08/x
3. Step 3: Cross multiply
   2,565.86x = 3,540.88 × 1,447.08
4. Step 4: Simplify right side
   2,565.86x = 5,123,936.63
5. Step 5: Solve for x
   x = 5,123,936.63/2,565.86
6. Step 6: Final answer
   x = 1,996.97