Finding the Fourth Proportional to 5,723.29, 7,892.33 and 3,834.57

Step by Step Solution

1. Step 1: Write the proportion equation
   5,723.29 : 7,892.33 = 3,834.57 : x
2. Step 2: Convert to fraction form
   5,723.29/7,892.33 = 3,834.57/x
3. Step 3: Cross multiply
   5,723.29x = 7,892.33 × 3,834.57
4. Step 4: Simplify right side
   5,723.29x = 30,263,691.85
5. Step 5: Solve for x
   x = 30,263,691.85/5,723.29
6. Step 6: Final answer
   x = 5,287.81