Finding the Fourth Proportional to 123.63, 185.42 and 55.10

Step by Step Solution

1. Step 1: Write the proportion equation
   123.63 : 185.42 = 55.10 : x
2. Step 2: Convert to fraction form
   123.63/185.42 = 55.10/x
3. Step 3: Cross multiply
   123.63x = 185.42 × 55.10
4. Step 4: Simplify right side
   123.63x = 10,215.44
5. Step 5: Solve for x
   x = 10,215.44/123.63
6. Step 6: Final answer
   x = 82.63