Finding the Fourth Proportional to 2,463.77, 3,695.69 and 820.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463.77 : 3,695.69 = 820.29 : x
2. Step 2: Convert to fraction form
   2,463.77/3,695.69 = 820.29/x
3. Step 3: Cross multiply
   2,463.77x = 3,695.69 × 820.29
4. Step 4: Simplify right side
   2,463.77x = 3,031,517.02
5. Step 5: Solve for x
   x = 3,031,517.02/2,463.77
6. Step 6: Final answer
   x = 1,230.44