Finding the Fourth Proportional to 76.71, 105.82 and 52.14

Step by Step Solution

1. Step 1: Write the proportion equation
   76.71 : 105.82 = 52.14 : x
2. Step 2: Convert to fraction form
   76.71/105.82 = 52.14/x
3. Step 3: Cross multiply
   76.71x = 105.82 × 52.14
4. Step 4: Simplify right side
   76.71x = 5,517.45
5. Step 5: Solve for x
   x = 5,517.45/76.71
6. Step 6: Final answer
   x = 71.93