Finding the Fourth Proportional to 9,815.27, 13,540.55 and 5,834.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,815.27 : 13,540.55 = 5,834.12 : x
2. Step 2: Convert to fraction form
   9,815.27/13,540.55 = 5,834.12/x
3. Step 3: Cross multiply
   9,815.27x = 13,540.55 × 5,834.12
4. Step 4: Simplify right side
   9,815.27x = 78,997,096.69
5. Step 5: Solve for x
   x = 78,997,096.69/9,815.27
6. Step 6: Final answer
   x = 8,048.39