Finding the Fourth Proportional to 3,877.57, 5,351.25 and 3,738.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,877.57 : 5,351.25 = 3,738.16 : x
2. Step 2: Convert to fraction form
   3,877.57/5,351.25 = 3,738.16/x
3. Step 3: Cross multiply
   3,877.57x = 5,351.25 × 3,738.16
4. Step 4: Simplify right side
   3,877.57x = 20,003,828.70
5. Step 5: Solve for x
   x = 20,003,828.70/3,877.57
6. Step 6: Final answer
   x = 5,158.86