Finding the Fourth Proportional to 2,464.28, 3,697.02 and 820.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.28 : 3,697.02 = 820.82 : x
2. Step 2: Convert to fraction form
   2,464.28/3,697.02 = 820.82/x
3. Step 3: Cross multiply
   2,464.28x = 3,697.02 × 820.82
4. Step 4: Simplify right side
   2,464.28x = 3,034,587.96
5. Step 5: Solve for x
   x = 3,034,587.96/2,464.28
6. Step 6: Final answer
   x = 1,231.43