Finding the Fourth Proportional to 123.52, 185.30 and 55.05

Step by Step Solution

1. Step 1: Write the proportion equation
   123.52 : 185.30 = 55.05 : x
2. Step 2: Convert to fraction form
   123.52/185.30 = 55.05/x
3. Step 3: Cross multiply
   123.52x = 185.30 × 55.05
4. Step 4: Simplify right side
   123.52x = 10,200.77
5. Step 5: Solve for x
   x = 10,200.77/123.52
6. Step 6: Final answer
   x = 82.58