Finding the Fourth Proportional to 10,195, 14,067.88 and 5,946.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,195 : 14,067.88 = 5,946.96 : x
2. Step 2: Convert to fraction form
   10,195/14,067.88 = 5,946.96/x
3. Step 3: Cross multiply
   10,195x = 14,067.88 × 5,946.96
4. Step 4: Simplify right side
   10,195x = 83,661,119.64
5. Step 5: Solve for x
   x = 83,661,119.64/10,195
6. Step 6: Final answer
   x = 8,206.09