Finding the Fourth Proportional to 42.77, 58.68 and 42.05

Step by Step Solution

1. Step 1: Write the proportion equation
   42.77 : 58.68 = 42.05 : x
2. Step 2: Convert to fraction form
   42.77/58.68 = 42.05/x
3. Step 3: Cross multiply
   42.77x = 58.68 × 42.05
4. Step 4: Simplify right side
   42.77x = 2,467.20
5. Step 5: Solve for x
   x = 2,467.20/42.77
6. Step 6: Final answer
   x = 57.69