Finding the Fourth Proportional to 2,643.76, 3,648.34 and 1,464.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,643.76 : 3,648.34 = 1,464.80 : x
2. Step 2: Convert to fraction form
   2,643.76/3,648.34 = 1,464.80/x
3. Step 3: Cross multiply
   2,643.76x = 3,648.34 × 1,464.80
4. Step 4: Simplify right side
   2,643.76x = 5,344,088.43
5. Step 5: Solve for x
   x = 5,344,088.43/2,643.76
6. Step 6: Final answer
   x = 2,021.40