Finding the Fourth Proportional to 2,738.56, 4,107.36 and 1,006.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.56 : 4,107.36 = 1,006.72 : x
2. Step 2: Convert to fraction form
   2,738.56/4,107.36 = 1,006.72/x
3. Step 3: Cross multiply
   2,738.56x = 4,107.36 × 1,006.72
4. Step 4: Simplify right side
   2,738.56x = 4,134,961.46
5. Step 5: Solve for x
   x = 4,134,961.46/2,738.56
6. Step 6: Final answer
   x = 1,509.90