Finding the Fourth Proportional to 3,872.14, 5,348.37 and 3,813.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,872.14 : 5,348.37 = 3,813.82 : x
2. Step 2: Convert to fraction form
   3,872.14/5,348.37 = 3,813.82/x
3. Step 3: Cross multiply
   3,872.14x = 5,348.37 × 3,813.82
4. Step 4: Simplify right side
   3,872.14x = 20,397,720.47
5. Step 5: Solve for x
   x = 20,397,720.47/3,872.14
6. Step 6: Final answer
   x = 5,267.82