Finding the Fourth Proportional to 76.27, 105.27 and 57.82

Step by Step Solution

1. Step 1: Write the proportion equation
   76.27 : 105.27 = 57.82 : x
2. Step 2: Convert to fraction form
   76.27/105.27 = 57.82/x
3. Step 3: Cross multiply
   76.27x = 105.27 × 57.82
4. Step 4: Simplify right side
   76.27x = 6,086.71
5. Step 5: Solve for x
   x = 6,086.71/76.27
6. Step 6: Final answer
   x = 79.80