Finding the Fourth Proportional to 2,565.07, 3,540.32 and 2,004.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.07 : 3,540.32 = 2,004.43 : x
2. Step 2: Convert to fraction form
   2,565.07/3,540.32 = 2,004.43/x
3. Step 3: Cross multiply
   2,565.07x = 3,540.32 × 2,004.43
4. Step 4: Simplify right side
   2,565.07x = 7,096,313.60
5. Step 5: Solve for x
   x = 7,096,313.60/2,565.07
6. Step 6: Final answer
   x = 2,766.52