Finding the Fourth Proportional to 2,782.50, 3,839.97 and 1,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.50 : 3,839.97 = 1,540.50 : x
2. Step 2: Convert to fraction form
   2,782.50/3,839.97 = 1,540.50/x
3. Step 3: Cross multiply
   2,782.50x = 3,839.97 × 1,540.50
4. Step 4: Simplify right side
   2,782.50x = 5,915,473.79
5. Step 5: Solve for x
   x = 5,915,473.79/2,782.50
6. Step 6: Final answer
   x = 2,125.96