Finding the Fourth Proportional to 2,463.55, 3,695.25 and 820.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463.55 : 3,695.25 = 820.12 : x
2. Step 2: Convert to fraction form
   2,463.55/3,695.25 = 820.12/x
3. Step 3: Cross multiply
   2,463.55x = 3,695.25 × 820.12
4. Step 4: Simplify right side
   2,463.55x = 3,030,548.43
5. Step 5: Solve for x
   x = 3,030,548.43/2,463.55
6. Step 6: Final answer
   x = 1,230.16