Finding the Fourth Proportional to 52.09, 71.79 and 42.82

Step by Step Solution

1. Step 1: Write the proportion equation
   52.09 : 71.79 = 42.82 : x
2. Step 2: Convert to fraction form
   52.09/71.79 = 42.82/x
3. Step 3: Cross multiply
   52.09x = 71.79 × 42.82
4. Step 4: Simplify right side
   52.09x = 3,074.05
5. Step 5: Solve for x
   x = 3,074.05/52.09
6. Step 6: Final answer
   x = 59.01