Finding the Fourth Proportional to 123.50, 185.27 and 55.02

Step by Step Solution

1. Step 1: Write the proportion equation
   123.50 : 185.27 = 55.02 : x
2. Step 2: Convert to fraction form
   123.50/185.27 = 55.02/x
3. Step 3: Cross multiply
   123.50x = 185.27 × 55.02
4. Step 4: Simplify right side
   123.50x = 10,194.39
5. Step 5: Solve for x
   x = 10,194.39/123.50
6. Step 6: Final answer
   x = 82.55