Finding the Fourth Proportional to 165.24, 227.82 and 123.72

Step by Step Solution

1. Step 1: Write the proportion equation
   165.24 : 227.82 = 123.72 : x
2. Step 2: Convert to fraction form
   165.24/227.82 = 123.72/x
3. Step 3: Cross multiply
   165.24x = 227.82 × 123.72
4. Step 4: Simplify right side
   165.24x = 28,185.89
5. Step 5: Solve for x
   x = 28,185.89/165.24
6. Step 6: Final answer
   x = 170.58