Finding the Fourth Proportional to 42.38, 58.78 and 42.02

Step by Step Solution

1. Step 1: Write the proportion equation
   42.38 : 58.78 = 42.02 : x
2. Step 2: Convert to fraction form
   42.38/58.78 = 42.02/x
3. Step 3: Cross multiply
   42.38x = 58.78 × 42.02
4. Step 4: Simplify right side
   42.38x = 2,469.94
5. Step 5: Solve for x
   x = 2,469.94/42.38
6. Step 6: Final answer
   x = 58.28