Finding the Fourth Proportional to 2,643.20, 3,647.34 and 1,464.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,643.20 : 3,647.34 = 1,464.24 : x
2. Step 2: Convert to fraction form
   2,643.20/3,647.34 = 1,464.24/x
3. Step 3: Cross multiply
   2,643.20x = 3,647.34 × 1,464.24
4. Step 4: Simplify right side
   2,643.20x = 5,340,581.12
5. Step 5: Solve for x
   x = 5,340,581.12/2,643.20
6. Step 6: Final answer
   x = 2,020.50