Finding the Fourth Proportional to 123.79, 184.59 and 106.78

Step by Step Solution

1. Step 1: Write the proportion equation
   123.79 : 184.59 = 106.78 : x
2. Step 2: Convert to fraction form
   123.79/184.59 = 106.78/x
3. Step 3: Cross multiply
   123.79x = 184.59 × 106.78
4. Step 4: Simplify right side
   123.79x = 19,710.52
5. Step 5: Solve for x
   x = 19,710.52/123.79
6. Step 6: Final answer
   x = 159.23