Finding the Fourth Proportional to 3,878.89, 5,774.45 and 3,855.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,878.89 : 5,774.45 = 3,855.82 : x
2. Step 2: Convert to fraction form
   3,878.89/5,774.45 = 3,855.82/x
3. Step 3: Cross multiply
   3,878.89x = 5,774.45 × 3,855.82
4. Step 4: Simplify right side
   3,878.89x = 22,265,253.06
5. Step 5: Solve for x
   x = 22,265,253.06/3,878.89
6. Step 6: Final answer
   x = 5,740.12