Finding the Fourth Proportional to 2,760.38, 4,116.20 and 2,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,760.38 : 4,116.20 = 2,559.50 : x
2. Step 2: Convert to fraction form
   2,760.38/4,116.20 = 2,559.50/x
3. Step 3: Cross multiply
   2,760.38x = 4,116.20 × 2,559.50
4. Step 4: Simplify right side
   2,760.38x = 10,535,380.52
5. Step 5: Solve for x
   x = 10,535,380.52/2,760.38
6. Step 6: Final answer
   x = 3,816.65