Finding the Fourth Proportional to 123.51, 185.31 and 55.10

Step by Step Solution

1. Step 1: Write the proportion equation
   123.51 : 185.31 = 55.10 : x
2. Step 2: Convert to fraction form
   123.51/185.31 = 55.10/x
3. Step 3: Cross multiply
   123.51x = 185.31 × 55.10
4. Step 4: Simplify right side
   123.51x = 10,209.65
5. Step 5: Solve for x
   x = 10,209.65/123.51
6. Step 6: Final answer
   x = 82.66