Finding the Fourth Proportional to 10,306.72, 14,223.28 and 5,830.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306.72 : 14,223.28 = 5,830.38 : x
2. Step 2: Convert to fraction form
   10,306.72/14,223.28 = 5,830.38/x
3. Step 3: Cross multiply
   10,306.72x = 14,223.28 × 5,830.38
4. Step 4: Simplify right side
   10,306.72x = 82,927,026.98
5. Step 5: Solve for x
   x = 82,927,026.98/10,306.72
6. Step 6: Final answer
   x = 8,045.92