Finding the Fourth Proportional to 123.30, 185.69 and 109.00

Step by Step Solution

1. Step 1: Write the proportion equation
   123.30 : 185.69 = 109.00 : x
2. Step 2: Convert to fraction form
   123.30/185.69 = 109.00/x
3. Step 3: Cross multiply
   123.30x = 185.69 × 109.00
4. Step 4: Simplify right side
   123.30x = 20,239.67
5. Step 5: Solve for x
   x = 20,239.67/123.30
6. Step 6: Final answer
   x = 164.15