Finding the Fourth Proportional to 3,868.62, 5,338.35 and 2,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,868.62 : 5,338.35 = 2,296.50 : x
2. Step 2: Convert to fraction form
   3,868.62/5,338.35 = 2,296.50/x
3. Step 3: Cross multiply
   3,868.62x = 5,338.35 × 2,296.50
4. Step 4: Simplify right side
   3,868.62x = 12,259,520.78
5. Step 5: Solve for x
   x = 12,259,520.78/3,868.62
6. Step 6: Final answer
   x = 3,168.96