Finding the Fourth Proportional to 10,309.71, 14,229.45 and 5,833.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,309.71 : 14,229.45 = 5,833.47 : x
2. Step 2: Convert to fraction form
   10,309.71/14,229.45 = 5,833.47/x
3. Step 3: Cross multiply
   10,309.71x = 14,229.45 × 5,833.47
4. Step 4: Simplify right side
   10,309.71x = 83,007,069.69
5. Step 5: Solve for x
   x = 83,007,069.69/10,309.71
6. Step 6: Final answer
   x = 8,051.35