Finding the Fourth Proportional to 42.82, 59.10 and 34.06

Step by Step Solution

1. Step 1: Write the proportion equation
   42.82 : 59.10 = 34.06 : x
2. Step 2: Convert to fraction form
   42.82/59.10 = 34.06/x
3. Step 3: Cross multiply
   42.82x = 59.10 × 34.06
4. Step 4: Simplify right side
   42.82x = 2,012.95
5. Step 5: Solve for x
   x = 2,012.95/42.82
6. Step 6: Final answer
   x = 47.01