Finding the Fourth Proportional to 3,882.42, 5,359.55 and 2,288.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,882.42 : 5,359.55 = 2,288.57 : x
2. Step 2: Convert to fraction form
   3,882.42/5,359.55 = 2,288.57/x
3. Step 3: Cross multiply
   3,882.42x = 5,359.55 × 2,288.57
4. Step 4: Simplify right side
   3,882.42x = 12,265,667.10
5. Step 5: Solve for x
   x = 12,265,667.10/3,882.42
6. Step 6: Final answer
   x = 3,159.28