Finding the Fourth Proportional to 10,825.14, 14,939.02 and 6,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,825.14 : 14,939.02 = 6,109.50 : x
2. Step 2: Convert to fraction form
   10,825.14/14,939.02 = 6,109.50/x
3. Step 3: Cross multiply
   10,825.14x = 14,939.02 × 6,109.50
4. Step 4: Simplify right side
   10,825.14x = 91,269,942.69
5. Step 5: Solve for x
   x = 91,269,942.69/10,825.14
6. Step 6: Final answer
   x = 8,431.29