Finding the Fourth Proportional to 3,868.52, 5,338.56 and 2,296.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,868.52 : 5,338.56 = 2,296.72 : x
2. Step 2: Convert to fraction form
   3,868.52/5,338.56 = 2,296.72/x
3. Step 3: Cross multiply
   3,868.52x = 5,338.56 × 2,296.72
4. Step 4: Simplify right side
   3,868.52x = 12,261,177.52
5. Step 5: Solve for x
   x = 12,261,177.52/3,868.52
6. Step 6: Final answer
   x = 3,169.48