Finding the Fourth Proportional to 144.69, 199.71 and 82.52

Step by Step Solution

1. Step 1: Write the proportion equation
   144.69 : 199.71 = 82.52 : x
2. Step 2: Convert to fraction form
   144.69/199.71 = 82.52/x
3. Step 3: Cross multiply
   144.69x = 199.71 × 82.52
4. Step 4: Simplify right side
   144.69x = 16,479.59
5. Step 5: Solve for x
   x = 16,479.59/144.69
6. Step 6: Final answer
   x = 113.89