Finding the Fourth Proportional to 10,306.16, 14,221.54 and 5,830.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306.16 : 14,221.54 = 5,830.23 : x
2. Step 2: Convert to fraction form
   10,306.16/14,221.54 = 5,830.23/x
3. Step 3: Cross multiply
   10,306.16x = 14,221.54 × 5,830.23
4. Step 4: Simplify right side
   10,306.16x = 82,914,849.15
5. Step 5: Solve for x
   x = 82,914,849.15/10,306.16
6. Step 6: Final answer
   x = 8,045.17