Finding the Fourth Proportional to 123.15, 185.09 and 109.83

Step by Step Solution

1. Step 1: Write the proportion equation
   123.15 : 185.09 = 109.83 : x
2. Step 2: Convert to fraction form
   123.15/185.09 = 109.83/x
3. Step 3: Cross multiply
   123.15x = 185.09 × 109.83
4. Step 4: Simplify right side
   123.15x = 20,327.89
5. Step 5: Solve for x
   x = 20,327.89/123.15
6. Step 6: Final answer
   x = 165.07