Finding the Fourth Proportional to 2,464.52, 3,695.34 and 820.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.52 : 3,695.34 = 820.62 : x
2. Step 2: Convert to fraction form
   2,464.52/3,695.34 = 820.62/x
3. Step 3: Cross multiply
   2,464.52x = 3,695.34 × 820.62
4. Step 4: Simplify right side
   2,464.52x = 3,032,469.91
5. Step 5: Solve for x
   x = 3,032,469.91/2,464.52
6. Step 6: Final answer
   x = 1,230.45