Finding the Fourth Proportional to 2,463.62, 3,695.49 and 820.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463.62 : 3,695.49 = 820.30 : x
2. Step 2: Convert to fraction form
   2,463.62/3,695.49 = 820.30/x
3. Step 3: Cross multiply
   2,463.62x = 3,695.49 × 820.30
4. Step 4: Simplify right side
   2,463.62x = 3,031,406.35
5. Step 5: Solve for x
   x = 3,031,406.35/2,463.62
6. Step 6: Final answer
   x = 1,230.47