Finding the Fourth Proportional to 2,463.72, 3,695.16 and 820.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,463.72 : 3,695.16 = 820.08 : x
2. Step 2: Convert to fraction form
   2,463.72/3,695.16 = 820.08/x
3. Step 3: Cross multiply
   2,463.72x = 3,695.16 × 820.08
4. Step 4: Simplify right side
   2,463.72x = 3,030,326.81
5. Step 5: Solve for x
   x = 3,030,326.81/2,463.72
6. Step 6: Final answer
   x = 1,229.98