Finding the Fourth Proportional to 78.06, 107.71 and 52.18

Step by Step Solution

1. Step 1: Write the proportion equation
   78.06 : 107.71 = 52.18 : x
2. Step 2: Convert to fraction form
   78.06/107.71 = 52.18/x
3. Step 3: Cross multiply
   78.06x = 107.71 × 52.18
4. Step 4: Simplify right side
   78.06x = 5,620.31
5. Step 5: Solve for x
   x = 5,620.31/78.06
6. Step 6: Final answer
   x = 72.00