Finding the Fourth Proportional to 111.36, 165.83 and 110.14

Step by Step Solution

1. Step 1: Write the proportion equation
   111.36 : 165.83 = 110.14 : x
2. Step 2: Convert to fraction form
   111.36/165.83 = 110.14/x
3. Step 3: Cross multiply
   111.36x = 165.83 × 110.14
4. Step 4: Simplify right side
   111.36x = 18,264.10
5. Step 5: Solve for x
   x = 18,264.10/111.36
6. Step 6: Final answer
   x = 164.00