Finding the Fourth Proportional to 76.69, 105.78 and 49.02

Step by Step Solution

1. Step 1: Write the proportion equation
   76.69 : 105.78 = 49.02 : x
2. Step 2: Convert to fraction form
   76.69/105.78 = 49.02/x
3. Step 3: Cross multiply
   76.69x = 105.78 × 49.02
4. Step 4: Simplify right side
   76.69x = 5,185.12
5. Step 5: Solve for x
   x = 5,185.12/76.69
6. Step 6: Final answer
   x = 67.61