Finding the Fourth Proportional to 10,638.29, 14,680.82 and 5,923.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638.29 : 14,680.82 = 5,923.69 : x
2. Step 2: Convert to fraction form
   10,638.29/14,680.82 = 5,923.69/x
3. Step 3: Cross multiply
   10,638.29x = 14,680.82 × 5,923.69
4. Step 4: Simplify right side
   10,638.29x = 86,964,604.73
5. Step 5: Solve for x
   x = 86,964,604.73/10,638.29
6. Step 6: Final answer
   x = 8,174.68