Finding the Fourth Proportional to 10,306.40, 14,222.72 and 5,830.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306.40 : 14,222.72 = 5,830.13 : x
2. Step 2: Convert to fraction form
   10,306.40/14,222.72 = 5,830.13/x
3. Step 3: Cross multiply
   10,306.40x = 14,222.72 × 5,830.13
4. Step 4: Simplify right side
   10,306.40x = 82,920,356.69
5. Step 5: Solve for x
   x = 82,920,356.69/10,306.40
6. Step 6: Final answer
   x = 8,045.52