Finding the Fourth Proportional to 2,565.50, 3,540.39 and 1,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.50 : 3,540.39 = 1,461.50 : x
2. Step 2: Convert to fraction form
   2,565.50/3,540.39 = 1,461.50/x
3. Step 3: Cross multiply
   2,565.50x = 3,540.39 × 1,461.50
4. Step 4: Simplify right side
   2,565.50x = 5,174,279.99
5. Step 5: Solve for x
   x = 5,174,279.99/2,565.50
6. Step 6: Final answer
   x = 2,016.87