Finding the Fourth Proportional to 2,005.02, 2,766.68 and 1,120.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.02 : 2,766.68 = 1,120.78 : x
2. Step 2: Convert to fraction form
   2,005.02/2,766.68 = 1,120.78/x
3. Step 3: Cross multiply
   2,005.02x = 2,766.68 × 1,120.78
4. Step 4: Simplify right side
   2,005.02x = 3,100,839.61
5. Step 5: Solve for x
   x = 3,100,839.61/2,005.02
6. Step 6: Final answer
   x = 1,546.54