Finding the Fourth Proportional to 2,004.86, 2,766.24 and 1,165.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.86 : 2,766.24 = 1,165.07 : x
2. Step 2: Convert to fraction form
   2,004.86/2,766.24 = 1,165.07/x
3. Step 3: Cross multiply
   2,004.86x = 2,766.24 × 1,165.07
4. Step 4: Simplify right side
   2,004.86x = 3,222,863.24
5. Step 5: Solve for x
   x = 3,222,863.24/2,004.86
6. Step 6: Final answer
   x = 1,607.53