Finding the Fourth Proportional to 123.39, 185.77 and 109.03

Step by Step Solution

1. Step 1: Write the proportion equation
   123.39 : 185.77 = 109.03 : x
2. Step 2: Convert to fraction form
   123.39/185.77 = 109.03/x
3. Step 3: Cross multiply
   123.39x = 185.77 × 109.03
4. Step 4: Simplify right side
   123.39x = 20,254.78
5. Step 5: Solve for x
   x = 20,254.78/123.39
6. Step 6: Final answer
   x = 164.15