Finding the Fourth Proportional to 2,565.33, 3,540.16 and 1,386.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.33 : 3,540.16 = 1,386.40 : x
2. Step 2: Convert to fraction form
   2,565.33/3,540.16 = 1,386.40/x
3. Step 3: Cross multiply
   2,565.33x = 3,540.16 × 1,386.40
4. Step 4: Simplify right side
   2,565.33x = 4,908,070.89
5. Step 5: Solve for x
   x = 4,908,070.89/2,565.33
6. Step 6: Final answer
   x = 1,913.23