Finding the Fourth Proportional to 2,738.84, 4,105.80 and 1,007.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.84 : 4,105.80 = 1,007.12 : x
2. Step 2: Convert to fraction form
   2,738.84/4,105.80 = 1,007.12/x
3. Step 3: Cross multiply
   2,738.84x = 4,105.80 × 1,007.12
4. Step 4: Simplify right side
   2,738.84x = 4,135,033.30
5. Step 5: Solve for x
   x = 4,135,033.30/2,738.84
6. Step 6: Final answer
   x = 1,509.78