Finding the Fourth Proportional to 78.10, 117.06 and 34.72

Step by Step Solution

1. Step 1: Write the proportion equation
   78.10 : 117.06 = 34.72 : x
2. Step 2: Convert to fraction form
   78.10/117.06 = 34.72/x
3. Step 3: Cross multiply
   78.10x = 117.06 × 34.72
4. Step 4: Simplify right side
   78.10x = 4,064.32
5. Step 5: Solve for x
   x = 4,064.32/78.10
6. Step 6: Final answer
   x = 52.04