Finding the Fourth Proportional to 4,138.56, 5,706.72 and 2,738.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,138.56 : 5,706.72 = 2,738.88 : x
2. Step 2: Convert to fraction form
   4,138.56/5,706.72 = 2,738.88/x
3. Step 3: Cross multiply
   4,138.56x = 5,706.72 × 2,738.88
4. Step 4: Simplify right side
   4,138.56x = 15,630,021.27
5. Step 5: Solve for x
   x = 15,630,021.27/4,138.56
6. Step 6: Final answer
   x = 3,776.68