Finding the Fourth Proportional to 76.82, 105.75 and 67.10

Step by Step Solution

1. Step 1: Write the proportion equation
   76.82 : 105.75 = 67.10 : x
2. Step 2: Convert to fraction form
   76.82/105.75 = 67.10/x
3. Step 3: Cross multiply
   76.82x = 105.75 × 67.10
4. Step 4: Simplify right side
   76.82x = 7,095.83
5. Step 5: Solve for x
   x = 7,095.83/76.82
6. Step 6: Final answer
   x = 92.37