Finding the Fourth Proportional to 10,306.43, 14,222.01 and 5,829.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306.43 : 14,222.01 = 5,829.15 : x
2. Step 2: Convert to fraction form
   10,306.43/14,222.01 = 5,829.15/x
3. Step 3: Cross multiply
   10,306.43x = 14,222.01 × 5,829.15
4. Step 4: Simplify right side
   10,306.43x = 82,902,229.59
5. Step 5: Solve for x
   x = 82,902,229.59/10,306.43
6. Step 6: Final answer
   x = 8,043.74