Finding the Fourth Proportional to 78.67, 117.96 and 35.34

Step by Step Solution

1. Step 1: Write the proportion equation
   78.67 : 117.96 = 35.34 : x
2. Step 2: Convert to fraction form
   78.67/117.96 = 35.34/x
3. Step 3: Cross multiply
   78.67x = 117.96 × 35.34
4. Step 4: Simplify right side
   78.67x = 4,168.71
5. Step 5: Solve for x
   x = 4,168.71/78.67
6. Step 6: Final answer
   x = 52.99