Finding the Fourth Proportional to 76.80, 105.83 and 69.34

Step by Step Solution

1. Step 1: Write the proportion equation
   76.80 : 105.83 = 69.34 : x
2. Step 2: Convert to fraction form
   76.80/105.83 = 69.34/x
3. Step 3: Cross multiply
   76.80x = 105.83 × 69.34
4. Step 4: Simplify right side
   76.80x = 7,338.25
5. Step 5: Solve for x
   x = 7,338.25/76.80
6. Step 6: Final answer
   x = 95.55