Finding the Fourth Proportional to 2,643.43, 3,648.05 and 1,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,643.43 : 3,648.05 = 1,464.50 : x
2. Step 2: Convert to fraction form
   2,643.43/3,648.05 = 1,464.50/x
3. Step 3: Cross multiply
   2,643.43x = 3,648.05 × 1,464.50
4. Step 4: Simplify right side
   2,643.43x = 5,342,569.23
5. Step 5: Solve for x
   x = 5,342,569.23/2,643.43
6. Step 6: Final answer
   x = 2,021.07