Finding the Fourth Proportional to 76.71, 105.89 and 69.30

Step by Step Solution

1. Step 1: Write the proportion equation
   76.71 : 105.89 = 69.30 : x
2. Step 2: Convert to fraction form
   76.71/105.89 = 69.30/x
3. Step 3: Cross multiply
   76.71x = 105.89 × 69.30
4. Step 4: Simplify right side
   76.71x = 7,338.18
5. Step 5: Solve for x
   x = 7,338.18/76.71
6. Step 6: Final answer
   x = 95.66