Finding the Fourth Proportional to 123.14, 184.77 and 42.05

Step by Step Solution

1. Step 1: Write the proportion equation
   123.14 : 184.77 = 42.05 : x
2. Step 2: Convert to fraction form
   123.14/184.77 = 42.05/x
3. Step 3: Cross multiply
   123.14x = 184.77 × 42.05
4. Step 4: Simplify right side
   123.14x = 7,770.04
5. Step 5: Solve for x
   x = 7,770.04/123.14
6. Step 6: Final answer
   x = 63.10