Finding the Fourth Proportional to 111.82, 166.50 and 107.14

Step by Step Solution

1. Step 1: Write the proportion equation
   111.82 : 166.50 = 107.14 : x
2. Step 2: Convert to fraction form
   111.82/166.50 = 107.14/x
3. Step 3: Cross multiply
   111.82x = 166.50 × 107.14
4. Step 4: Simplify right side
   111.82x = 17,838.81
5. Step 5: Solve for x
   x = 17,838.81/111.82
6. Step 6: Final answer
   x = 159.53