Finding the Fourth Proportional to 2,643.67, 3,648.50 and 1,464.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,643.67 : 3,648.50 = 1,464.96 : x
2. Step 2: Convert to fraction form
   2,643.67/3,648.50 = 1,464.96/x
3. Step 3: Cross multiply
   2,643.67x = 3,648.50 × 1,464.96
4. Step 4: Simplify right side
   2,643.67x = 5,344,906.56
5. Step 5: Solve for x
   x = 5,344,906.56/2,643.67
6. Step 6: Final answer
   x = 2,021.78