Finding the Fourth Proportional to 164.38, 226.83 and 89.69

Step by Step Solution

1. Step 1: Write the proportion equation
   164.38 : 226.83 = 89.69 : x
2. Step 2: Convert to fraction form
   164.38/226.83 = 89.69/x
3. Step 3: Cross multiply
   164.38x = 226.83 × 89.69
4. Step 4: Simplify right side
   164.38x = 20,343.82
5. Step 5: Solve for x
   x = 20,343.82/164.38
6. Step 6: Final answer
   x = 123.76