Finding the Fourth Proportional to 2,004.61, 2,766.36 and 1,120.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.61 : 2,766.36 = 1,120.42 : x
2. Step 2: Convert to fraction form
   2,004.61/2,766.36 = 1,120.42/x
3. Step 3: Cross multiply
   2,004.61x = 2,766.36 × 1,120.42
4. Step 4: Simplify right side
   2,004.61x = 3,099,485.07
5. Step 5: Solve for x
   x = 3,099,485.07/2,004.61
6. Step 6: Final answer
   x = 1,546.18