Finding the Fourth Proportional to 3,869.42, 5,757.59 and 3,856.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,869.42 : 5,757.59 = 3,856.46 : x
2. Step 2: Convert to fraction form
   3,869.42/5,757.59 = 3,856.46/x
3. Step 3: Cross multiply
   3,869.42x = 5,757.59 × 3,856.46
4. Step 4: Simplify right side
   3,869.42x = 22,203,915.53
5. Step 5: Solve for x
   x = 22,203,915.53/3,869.42
6. Step 6: Final answer
   x = 5,738.31