Finding the Fourth Proportional to 2,464.02, 3,694.59 and 820.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.02 : 3,694.59 = 820.14 : x
2. Step 2: Convert to fraction form
   2,464.02/3,694.59 = 820.14/x
3. Step 3: Cross multiply
   2,464.02x = 3,694.59 × 820.14
4. Step 4: Simplify right side
   2,464.02x = 3,030,081.04
5. Step 5: Solve for x
   x = 3,030,081.04/2,464.02
6. Step 6: Final answer
   x = 1,229.73