Finding the Fourth Proportional to 2,004.66, 2,766.42 and 1,120.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.66 : 2,766.42 = 1,120.55 : x
2. Step 2: Convert to fraction form
   2,004.66/2,766.42 = 1,120.55/x
3. Step 3: Cross multiply
   2,004.66x = 2,766.42 × 1,120.55
4. Step 4: Simplify right side
   2,004.66x = 3,099,898.10
5. Step 5: Solve for x
   x = 3,099,898.10/2,004.66
6. Step 6: Final answer
   x = 1,546.35