Finding the Fourth Proportional to 2,738.40, 4,116.24 and 2,446.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.40 : 4,116.24 = 2,446.80 : x
2. Step 2: Convert to fraction form
   2,738.40/4,116.24 = 2,446.80/x
3. Step 3: Cross multiply
   2,738.40x = 4,116.24 × 2,446.80
4. Step 4: Simplify right side
   2,738.40x = 10,071,616.03
5. Step 5: Solve for x
   x = 10,071,616.03/2,738.40
6. Step 6: Final answer
   x = 3,677.92