Finding the Fourth Proportional to 3,868.25, 5,338.86 and 2,296.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,868.25 : 5,338.86 = 2,296.31 : x
2. Step 2: Convert to fraction form
   3,868.25/5,338.86 = 2,296.31/x
3. Step 3: Cross multiply
   3,868.25x = 5,338.86 × 2,296.31
4. Step 4: Simplify right side
   3,868.25x = 12,259,677.61
5. Step 5: Solve for x
   x = 12,259,677.61/3,868.25
6. Step 6: Final answer
   x = 3,169.31