Finding the Fourth Proportional to 3,878.67, 5,774.13 and 3,855.60

Step by Step Solution

1. Step 1: Write the proportion equation
   3,878.67 : 5,774.13 = 3,855.60 : x
2. Step 2: Convert to fraction form
   3,878.67/5,774.13 = 3,855.60/x
3. Step 3: Cross multiply
   3,878.67x = 5,774.13 × 3,855.60
4. Step 4: Simplify right side
   3,878.67x = 22,262,738.03
5. Step 5: Solve for x
   x = 22,262,738.03/3,878.67
6. Step 6: Final answer
   x = 5,739.79