Finding the Fourth Proportional to 2,643.12, 3,647.56 and 1,464.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,643.12 : 3,647.56 = 1,464.28 : x
2. Step 2: Convert to fraction form
   2,643.12/3,647.56 = 1,464.28/x
3. Step 3: Cross multiply
   2,643.12x = 3,647.56 × 1,464.28
4. Step 4: Simplify right side
   2,643.12x = 5,341,049.16
5. Step 5: Solve for x
   x = 5,341,049.16/2,643.12
6. Step 6: Final answer
   x = 2,020.74