Finding the Fourth Proportional to 2,004.78, 2,766.30 and 1,165.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.78 : 2,766.30 = 1,165.43 : x
2. Step 2: Convert to fraction form
   2,004.78/2,766.30 = 1,165.43/x
3. Step 3: Cross multiply
   2,004.78x = 2,766.30 × 1,165.43
4. Step 4: Simplify right side
   2,004.78x = 3,223,915.18
5. Step 5: Solve for x
   x = 3,223,915.18/2,004.78
6. Step 6: Final answer
   x = 1,608.11