Finding the Fourth Proportional to 2,643.50, 3,647.97 and 1,464.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,643.50 : 3,647.97 = 1,464.55 : x
2. Step 2: Convert to fraction form
   2,643.50/3,647.97 = 1,464.55/x
3. Step 3: Cross multiply
   2,643.50x = 3,647.97 × 1,464.55
4. Step 4: Simplify right side
   2,643.50x = 5,342,625.34
5. Step 5: Solve for x
   x = 5,342,625.34/2,643.50
6. Step 6: Final answer
   x = 2,021.04