Finding the Fourth Proportional to 185.69, 256.32 and 123.57

Step by Step Solution

1. Step 1: Write the proportion equation
   185.69 : 256.32 = 123.57 : x
2. Step 2: Convert to fraction form
   185.69/256.32 = 123.57/x
3. Step 3: Cross multiply
   185.69x = 256.32 × 123.57
4. Step 4: Simplify right side
   185.69x = 31,673.46
5. Step 5: Solve for x
   x = 31,673.46/185.69
6. Step 6: Final answer
   x = 170.58