Finding the Fourth Proportional to 2,464.81, 3,695.96 and 820.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.81 : 3,695.96 = 820.78 : x
2. Step 2: Convert to fraction form
   2,464.81/3,695.96 = 820.78/x
3. Step 3: Cross multiply
   2,464.81x = 3,695.96 × 820.78
4. Step 4: Simplify right side
   2,464.81x = 3,033,562.86
5. Step 5: Solve for x
   x = 3,033,562.86/2,464.81
6. Step 6: Final answer
   x = 1,230.75