Finding the Fourth Proportional to 3,828.16, 5,744.52 and 3,585.20

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.16 : 5,744.52 = 3,585.20 : x
2. Step 2: Convert to fraction form
   3,828.16/5,744.52 = 3,585.20/x
3. Step 3: Cross multiply
   3,828.16x = 5,744.52 × 3,585.20
4. Step 4: Simplify right side
   3,828.16x = 20,595,248.62
5. Step 5: Solve for x
   x = 20,595,248.62/3,828.16
6. Step 6: Final answer
   x = 5,379.93