Finding the Fourth Proportional to 42.21, 58.17 and 34.02

Step by Step Solution

1. Step 1: Write the proportion equation
   42.21 : 58.17 = 34.02 : x
2. Step 2: Convert to fraction form
   42.21/58.17 = 34.02/x
3. Step 3: Cross multiply
   42.21x = 58.17 × 34.02
4. Step 4: Simplify right side
   42.21x = 1,978.94
5. Step 5: Solve for x
   x = 1,978.94/42.21
6. Step 6: Final answer
   x = 46.88