Finding the Fourth Proportional to 10,306.10, 14,223.33 and 5,830.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306.10 : 14,223.33 = 5,830.67 : x
2. Step 2: Convert to fraction form
   10,306.10/14,223.33 = 5,830.67/x
3. Step 3: Cross multiply
   10,306.10x = 14,223.33 × 5,830.67
4. Step 4: Simplify right side
   10,306.10x = 82,931,472.41
5. Step 5: Solve for x
   x = 82,931,472.41/10,306.10
6. Step 6: Final answer
   x = 8,046.84