Finding the Fourth Proportional to 78.10, 107.82 and 54.82

Step by Step Solution

1. Step 1: Write the proportion equation
   78.10 : 107.82 = 54.82 : x
2. Step 2: Convert to fraction form
   78.10/107.82 = 54.82/x
3. Step 3: Cross multiply
   78.10x = 107.82 × 54.82
4. Step 4: Simplify right side
   78.10x = 5,910.69
5. Step 5: Solve for x
   x = 5,910.69/78.10
6. Step 6: Final answer
   x = 75.68