Finding the Fourth Proportional to 76.74, 105.89 and 49.10

Step by Step Solution

1. Step 1: Write the proportion equation
   76.74 : 105.89 = 49.10 : x
2. Step 2: Convert to fraction form
   76.74/105.89 = 49.10/x
3. Step 3: Cross multiply
   76.74x = 105.89 × 49.10
4. Step 4: Simplify right side
   76.74x = 5,198.42
5. Step 5: Solve for x
   x = 5,198.42/76.74
6. Step 6: Final answer
   x = 67.74