Finding the Fourth Proportional to 76.69, 105.79 and 54.82

Step by Step Solution

1. Step 1: Write the proportion equation
   76.69 : 105.79 = 54.82 : x
2. Step 2: Convert to fraction form
   76.69/105.79 = 54.82/x
3. Step 3: Cross multiply
   76.69x = 105.79 × 54.82
4. Step 4: Simplify right side
   76.69x = 5,798.60
5. Step 5: Solve for x
   x = 5,798.60/76.69
6. Step 6: Final answer
   x = 75.62