Finding the Fourth Proportional to 42.77, 58.96 and 38.15

Step by Step Solution

1. Step 1: Write the proportion equation
   42.77 : 58.96 = 38.15 : x
2. Step 2: Convert to fraction form
   42.77/58.96 = 38.15/x
3. Step 3: Cross multiply
   42.77x = 58.96 × 38.15
4. Step 4: Simplify right side
   42.77x = 2,249.32
5. Step 5: Solve for x
   x = 2,249.32/42.77
6. Step 6: Final answer
   x = 52.59