Finding the Fourth Proportional to 78.02, 116.97 and 34.72

Step by Step Solution

1. Step 1: Write the proportion equation
   78.02 : 116.97 = 34.72 : x
2. Step 2: Convert to fraction form
   78.02/116.97 = 34.72/x
3. Step 3: Cross multiply
   78.02x = 116.97 × 34.72
4. Step 4: Simplify right side
   78.02x = 4,061.20
5. Step 5: Solve for x
   x = 4,061.20/78.02
6. Step 6: Final answer
   x = 52.05