Finding the Fourth Proportional to 42.96, 59.16 and 33.78

Step by Step Solution

1. Step 1: Write the proportion equation
   42.96 : 59.16 = 33.78 : x
2. Step 2: Convert to fraction form
   42.96/59.16 = 33.78/x
3. Step 3: Cross multiply
   42.96x = 59.16 × 33.78
4. Step 4: Simplify right side
   42.96x = 1,998.42
5. Step 5: Solve for x
   x = 1,998.42/42.96
6. Step 6: Final answer
   x = 46.52