Finding the Fourth Proportional to 2,005.05, 2,766.81 and 1,120.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.05 : 2,766.81 = 1,120.80 : x
2. Step 2: Convert to fraction form
   2,005.05/2,766.81 = 1,120.80/x
3. Step 3: Cross multiply
   2,005.05x = 2,766.81 × 1,120.80
4. Step 4: Simplify right side
   2,005.05x = 3,101,040.65
5. Step 5: Solve for x
   x = 3,101,040.65/2,005.05
6. Step 6: Final answer
   x = 1,546.62