Finding the Fourth Proportional to 2,565.89, 3,540.93 and 1,386.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.89 : 3,540.93 = 1,386.96 : x
2. Step 2: Convert to fraction form
   2,565.89/3,540.93 = 1,386.96/x
3. Step 3: Cross multiply
   2,565.89x = 3,540.93 × 1,386.96
4. Step 4: Simplify right side
   2,565.89x = 4,911,128.27
5. Step 5: Solve for x
   x = 4,911,128.27/2,565.89
6. Step 6: Final answer
   x = 1,914.01