Finding the Fourth Proportional to 123.84, 184.85 and 111.69

Step by Step Solution

1. Step 1: Write the proportion equation
   123.84 : 184.85 = 111.69 : x
2. Step 2: Convert to fraction form
   123.84/184.85 = 111.69/x
3. Step 3: Cross multiply
   123.84x = 184.85 × 111.69
4. Step 4: Simplify right side
   123.84x = 20,645.34
5. Step 5: Solve for x
   x = 20,645.34/123.84
6. Step 6: Final answer
   x = 166.71