Finding the Fourth Proportional to 2,463.96, 3,695.58 and 820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463.96 : 3,695.58 = 820.50 : x
2. Step 2: Convert to fraction form
   2,463.96/3,695.58 = 820.50/x
3. Step 3: Cross multiply
   2,463.96x = 3,695.58 × 820.50
4. Step 4: Simplify right side
   2,463.96x = 3,032,223.39
5. Step 5: Solve for x
   x = 3,032,223.39/2,463.96
6. Step 6: Final answer
   x = 1,230.63