Finding the Fourth Proportional to 123.58, 184.50 and 109.92

Step by Step Solution

1. Step 1: Write the proportion equation
   123.58 : 184.50 = 109.92 : x
2. Step 2: Convert to fraction form
   123.58/184.50 = 109.92/x
3. Step 3: Cross multiply
   123.58x = 184.50 × 109.92
4. Step 4: Simplify right side
   123.58x = 20,279.38
5. Step 5: Solve for x
   x = 20,279.38/123.58
6. Step 6: Final answer
   x = 164.09