Finding the Fourth Proportional to 2,463.71, 3,696.15 and 820.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463.71 : 3,696.15 = 820.27 : x
2. Step 2: Convert to fraction form
   2,463.71/3,696.15 = 820.27/x
3. Step 3: Cross multiply
   2,463.71x = 3,696.15 × 820.27
4. Step 4: Simplify right side
   2,463.71x = 3,031,831.72
5. Step 5: Solve for x
   x = 3,031,831.72/2,463.71
6. Step 6: Final answer
   x = 1,230.60