Finding the Fourth Proportional to 10,952.81, 16,431.26 and 5,109.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,952.81 : 16,431.26 = 5,109.42 : x
2. Step 2: Convert to fraction form
   10,952.81/16,431.26 = 5,109.42/x
3. Step 3: Cross multiply
   10,952.81x = 16,431.26 × 5,109.42
4. Step 4: Simplify right side
   10,952.81x = 83,954,182.92
5. Step 5: Solve for x
   x = 83,954,182.92/10,952.81
6. Step 6: Final answer
   x = 7,665.09