Finding the Fourth Proportional to 78.22, 107.89 and 47.12

Step by Step Solution

1. Step 1: Write the proportion equation
   78.22 : 107.89 = 47.12 : x
2. Step 2: Convert to fraction form
   78.22/107.89 = 47.12/x
3. Step 3: Cross multiply
   78.22x = 107.89 × 47.12
4. Step 4: Simplify right side
   78.22x = 5,083.38
5. Step 5: Solve for x
   x = 5,083.38/78.22
6. Step 6: Final answer
   x = 64.99