Finding the Fourth Proportional to 10,309.81, 14,227.55 and 5,833.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,309.81 : 14,227.55 = 5,833.47 : x
2. Step 2: Convert to fraction form
   10,309.81/14,227.55 = 5,833.47/x
3. Step 3: Cross multiply
   10,309.81x = 14,227.55 × 5,833.47
4. Step 4: Simplify right side
   10,309.81x = 82,995,986.10
5. Step 5: Solve for x
   x = 82,995,986.10/10,309.81
6. Step 6: Final answer
   x = 8,050.20