Finding the Fourth Proportional to 123.82, 185.61 and 55.36

Step by Step Solution

1. Step 1: Write the proportion equation
   123.82 : 185.61 = 55.36 : x
2. Step 2: Convert to fraction form
   123.82/185.61 = 55.36/x
3. Step 3: Cross multiply
   123.82x = 185.61 × 55.36
4. Step 4: Simplify right side
   123.82x = 10,275.37
5. Step 5: Solve for x
   x = 10,275.37/123.82
6. Step 6: Final answer
   x = 82.99