Finding the Fourth Proportional to 2,738.10, 3,778.58 and 1,496.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.10 : 3,778.58 = 1,496.10 : x
2. Step 2: Convert to fraction form
   2,738.10/3,778.58 = 1,496.10/x
3. Step 3: Cross multiply
   2,738.10x = 3,778.58 × 1,496.10
4. Step 4: Simplify right side
   2,738.10x = 5,653,133.54
5. Step 5: Solve for x
   x = 5,653,133.54/2,738.10
6. Step 6: Final answer
   x = 2,064.62