Finding the Fourth Proportional to 3,827.39, 5,743.51 and 3,589.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.39 : 5,743.51 = 3,589.25 : x
2. Step 2: Convert to fraction form
   3,827.39/5,743.51 = 3,589.25/x
3. Step 3: Cross multiply
   3,827.39x = 5,743.51 × 3,589.25
4. Step 4: Simplify right side
   3,827.39x = 20,614,855.58
5. Step 5: Solve for x
   x = 20,614,855.58/3,827.39
6. Step 6: Final answer
   x = 5,386.15