Finding the Fourth Proportional to 10,306.14, 14,222.39 and 5,768.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306.14 : 14,222.39 = 5,768.82 : x
2. Step 2: Convert to fraction form
   10,306.14/14,222.39 = 5,768.82/x
3. Step 3: Cross multiply
   10,306.14x = 14,222.39 × 5,768.82
4. Step 4: Simplify right side
   10,306.14x = 82,046,379.04
5. Step 5: Solve for x
   x = 82,046,379.04/10,306.14
6. Step 6: Final answer
   x = 7,960.93