Finding the Fourth Proportional to 123.27, 184.61 and 71.78

Step by Step Solution

1. Step 1: Write the proportion equation
   123.27 : 184.61 = 71.78 : x
2. Step 2: Convert to fraction form
   123.27/184.61 = 71.78/x
3. Step 3: Cross multiply
   123.27x = 184.61 × 71.78
4. Step 4: Simplify right side
   123.27x = 13,250.02
5. Step 5: Solve for x
   x = 13,250.02/123.27
6. Step 6: Final answer
   x = 107.49