Finding the Fourth Proportional to 2,565.76, 3,540.80 and 1,557.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.76 : 3,540.80 = 1,557.49 : x
2. Step 2: Convert to fraction form
   2,565.76/3,540.80 = 1,557.49/x
3. Step 3: Cross multiply
   2,565.76x = 3,540.80 × 1,557.49
4. Step 4: Simplify right side
   2,565.76x = 5,514,760.59
5. Step 5: Solve for x
   x = 5,514,760.59/2,565.76
6. Step 6: Final answer
   x = 2,149.37