Finding the Fourth Proportional to 78.69, 117.98 and 33.07

Step by Step Solution

1. Step 1: Write the proportion equation
   78.69 : 117.98 = 33.07 : x
2. Step 2: Convert to fraction form
   78.69/117.98 = 33.07/x
3. Step 3: Cross multiply
   78.69x = 117.98 × 33.07
4. Step 4: Simplify right side
   78.69x = 3,901.60
5. Step 5: Solve for x
   x = 3,901.60/78.69
6. Step 6: Final answer
   x = 49.58