Finding the Fourth Proportional to 9,815.24, 13,540.57 and 5,834.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,815.24 : 13,540.57 = 5,834.09 : x
2. Step 2: Convert to fraction form
   9,815.24/13,540.57 = 5,834.09/x
3. Step 3: Cross multiply
   9,815.24x = 13,540.57 × 5,834.09
4. Step 4: Simplify right side
   9,815.24x = 78,996,923.30
5. Step 5: Solve for x
   x = 78,996,923.30/9,815.24
6. Step 6: Final answer
   x = 8,048.39