Finding the Fourth Proportional to 2,464.35, 3,695.13 and 820.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.35 : 3,695.13 = 820.01 : x
2. Step 2: Convert to fraction form
   2,464.35/3,695.13 = 820.01/x
3. Step 3: Cross multiply
   2,464.35x = 3,695.13 × 820.01
4. Step 4: Simplify right side
   2,464.35x = 3,030,043.55
5. Step 5: Solve for x
   x = 3,030,043.55/2,464.35
6. Step 6: Final answer
   x = 1,229.55