Finding the Fourth Proportional to 2,004.12, 2,765.88 and 1,165.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.12 : 2,765.88 = 1,165.10 : x
2. Step 2: Convert to fraction form
   2,004.12/2,765.88 = 1,165.10/x
3. Step 3: Cross multiply
   2,004.12x = 2,765.88 × 1,165.10
4. Step 4: Simplify right side
   2,004.12x = 3,222,512.96
5. Step 5: Solve for x
   x = 3,222,512.96/2,004.12
6. Step 6: Final answer
   x = 1,607.94