Finding the Fourth Proportional to 3,826.56, 5,287.24 and 3,162.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.56 : 5,287.24 = 3,162.30 : x
2. Step 2: Convert to fraction form
   3,826.56/5,287.24 = 3,162.30/x
3. Step 3: Cross multiply
   3,826.56x = 5,287.24 × 3,162.30
4. Step 4: Simplify right side
   3,826.56x = 16,719,839.05
5. Step 5: Solve for x
   x = 16,719,839.05/3,826.56
6. Step 6: Final answer
   x = 4,369.42