Finding the Fourth Proportional to 2,004.54, 2,766.06 and 1,165.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.54 : 2,766.06 = 1,165.23 : x
2. Step 2: Convert to fraction form
   2,004.54/2,766.06 = 1,165.23/x
3. Step 3: Cross multiply
   2,004.54x = 2,766.06 × 1,165.23
4. Step 4: Simplify right side
   2,004.54x = 3,223,096.09
5. Step 5: Solve for x
   x = 3,223,096.09/2,004.54
6. Step 6: Final answer
   x = 1,607.90