Finding the Fourth Proportional to 78.68, 118.01 and 33.02

Step by Step Solution

1. Step 1: Write the proportion equation
   78.68 : 118.01 = 33.02 : x
2. Step 2: Convert to fraction form
   78.68/118.01 = 33.02/x
3. Step 3: Cross multiply
   78.68x = 118.01 × 33.02
4. Step 4: Simplify right side
   78.68x = 3,896.69
5. Step 5: Solve for x
   x = 3,896.69/78.68
6. Step 6: Final answer
   x = 49.53