Finding the Fourth Proportional to 2,464.66, 3,695.61 and 820.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.66 : 3,695.61 = 820.76 : x
2. Step 2: Convert to fraction form
   2,464.66/3,695.61 = 820.76/x
3. Step 3: Cross multiply
   2,464.66x = 3,695.61 × 820.76
4. Step 4: Simplify right side
   2,464.66x = 3,033,208.86
5. Step 5: Solve for x
   x = 3,033,208.86/2,464.66
6. Step 6: Final answer
   x = 1,230.68