Finding the Fourth Proportional to 2,643.88, 3,647.64 and 1,648.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,643.88 : 3,647.64 = 1,648.48 : x
2. Step 2: Convert to fraction form
   2,643.88/3,647.64 = 1,648.48/x
3. Step 3: Cross multiply
   2,643.88x = 3,647.64 × 1,648.48
4. Step 4: Simplify right side
   2,643.88x = 6,013,061.59
5. Step 5: Solve for x
   x = 6,013,061.59/2,643.88
6. Step 6: Final answer
   x = 2,274.33