Finding the Fourth Proportional to 3,868.42, 5,756.10 and 3,855.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,868.42 : 5,756.10 = 3,855.46 : x
2. Step 2: Convert to fraction form
   3,868.42/5,756.10 = 3,855.46/x
3. Step 3: Cross multiply
   3,868.42x = 5,756.10 × 3,855.46
4. Step 4: Simplify right side
   3,868.42x = 22,192,413.31
5. Step 5: Solve for x
   x = 22,192,413.31/3,868.42
6. Step 6: Final answer
   x = 5,736.82