Finding the Fourth Proportional to 2,643.29, 3,647.71 and 1,464.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,643.29 : 3,647.71 = 1,464.36 : x
2. Step 2: Convert to fraction form
   2,643.29/3,647.71 = 1,464.36/x
3. Step 3: Cross multiply
   2,643.29x = 3,647.71 × 1,464.36
4. Step 4: Simplify right side
   2,643.29x = 5,341,560.62
5. Step 5: Solve for x
   x = 5,341,560.62/2,643.29
6. Step 6: Final answer
   x = 2,020.80