Finding the Fourth Proportional to 12,022.96, 16,578.18 and 7,768.42

Step by Step Solution

1. Step 1: Write the proportion equation
   12,022.96 : 16,578.18 = 7,768.42 : x
2. Step 2: Convert to fraction form
   12,022.96/16,578.18 = 7,768.42/x
3. Step 3: Cross multiply
   12,022.96x = 16,578.18 × 7,768.42
4. Step 4: Simplify right side
   12,022.96x = 128,786,265.08
5. Step 5: Solve for x
   x = 128,786,265.08/12,022.96
6. Step 6: Final answer
   x = 10,711.69