Finding the Fourth Proportional to 144.82, 199.88 and 89.61

Step by Step Solution

1. Step 1: Write the proportion equation
   144.82 : 199.88 = 89.61 : x
2. Step 2: Convert to fraction form
   144.82/199.88 = 89.61/x
3. Step 3: Cross multiply
   144.82x = 199.88 × 89.61
4. Step 4: Simplify right side
   144.82x = 17,911.25
5. Step 5: Solve for x
   x = 17,911.25/144.82
6. Step 6: Final answer
   x = 123.68