Finding the Fourth Proportional to 6,805.38, 9,391.83 and 3,822.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,805.38 : 9,391.83 = 3,822.24 : x
2. Step 2: Convert to fraction form
   6,805.38/9,391.83 = 3,822.24/x
3. Step 3: Cross multiply
   6,805.38x = 9,391.83 × 3,822.24
4. Step 4: Simplify right side
   6,805.38x = 35,897,828.30
5. Step 5: Solve for x
   x = 35,897,828.30/6,805.38
6. Step 6: Final answer
   x = 5,274.92