Finding the Fourth Proportional to 3,878.17, 5,315.78 and 3,823.49

Step by Step Solution

1. Step 1: Write the proportion equation
   3,878.17 : 5,315.78 = 3,823.49 : x
2. Step 2: Convert to fraction form
   3,878.17/5,315.78 = 3,823.49/x
3. Step 3: Cross multiply
   3,878.17x = 5,315.78 × 3,823.49
4. Step 4: Simplify right side
   3,878.17x = 20,324,825.54
5. Step 5: Solve for x
   x = 20,324,825.54/3,878.17
6. Step 6: Final answer
   x = 5,240.83