Finding the Fourth Proportional to 3,834.28, 5,743.86 and 3,564.28

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.28 : 5,743.86 = 3,564.28 : x
2. Step 2: Convert to fraction form
   3,834.28/5,743.86 = 3,564.28/x
3. Step 3: Cross multiply
   3,834.28x = 5,743.86 × 3,564.28
4. Step 4: Simplify right side
   3,834.28x = 20,472,725.32
5. Step 5: Solve for x
   x = 20,472,725.32/3,834.28
6. Step 6: Final answer
   x = 5,339.39