Finding the Fourth Proportional to 123.82, 185.98 and 107.62

Step by Step Solution

1. Step 1: Write the proportion equation
   123.82 : 185.98 = 107.62 : x
2. Step 2: Convert to fraction form
   123.82/185.98 = 107.62/x
3. Step 3: Cross multiply
   123.82x = 185.98 × 107.62
4. Step 4: Simplify right side
   123.82x = 20,015.17
5. Step 5: Solve for x
   x = 20,015.17/123.82
6. Step 6: Final answer
   x = 161.65