Finding the Fourth Proportional to 10,306.54, 14,223.20 and 5,830.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306.54 : 14,223.20 = 5,830.18 : x
2. Step 2: Convert to fraction form
   10,306.54/14,223.20 = 5,830.18/x
3. Step 3: Cross multiply
   10,306.54x = 14,223.20 × 5,830.18
4. Step 4: Simplify right side
   10,306.54x = 82,923,751.47
5. Step 5: Solve for x
   x = 82,923,751.47/10,306.54
6. Step 6: Final answer
   x = 8,045.74