Finding the Fourth Proportional to 2,003.94, 2,765.34 and 1,165.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.94 : 2,765.34 = 1,165.05 : x
2. Step 2: Convert to fraction form
   2,003.94/2,765.34 = 1,165.05/x
3. Step 3: Cross multiply
   2,003.94x = 2,765.34 × 1,165.05
4. Step 4: Simplify right side
   2,003.94x = 3,221,759.37
5. Step 5: Solve for x
   x = 3,221,759.37/2,003.94
6. Step 6: Final answer
   x = 1,607.71