Finding the Fourth Proportional to 2,463.69, 3,695.94 and 820.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463.69 : 3,695.94 = 820.06 : x
2. Step 2: Convert to fraction form
   2,463.69/3,695.94 = 820.06/x
3. Step 3: Cross multiply
   2,463.69x = 3,695.94 × 820.06
4. Step 4: Simplify right side
   2,463.69x = 3,030,892.56
5. Step 5: Solve for x
   x = 3,030,892.56/2,463.69
6. Step 6: Final answer
   x = 1,230.22