Finding the Fourth Proportional to 2,565.64, 3,540.58 and 1,386.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.64 : 3,540.58 = 1,386.72 : x
2. Step 2: Convert to fraction form
   2,565.64/3,540.58 = 1,386.72/x
3. Step 3: Cross multiply
   2,565.64x = 3,540.58 × 1,386.72
4. Step 4: Simplify right side
   2,565.64x = 4,909,793.10
5. Step 5: Solve for x
   x = 4,909,793.10/2,565.64
6. Step 6: Final answer
   x = 1,913.67