Finding the Fourth Proportional to 10,306.42, 14,222.87 and 5,830.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306.42 : 14,222.87 = 5,830.08 : x
2. Step 2: Convert to fraction form
   10,306.42/14,222.87 = 5,830.08/x
3. Step 3: Cross multiply
   10,306.42x = 14,222.87 × 5,830.08
4. Step 4: Simplify right side
   10,306.42x = 82,920,400.78
5. Step 5: Solve for x
   x = 82,920,400.78/10,306.42
6. Step 6: Final answer
   x = 8,045.51