Finding the Fourth Proportional to 2,004.24, 2,766.20 and 1,164.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.24 : 2,766.20 = 1,164.80 : x
2. Step 2: Convert to fraction form
   2,004.24/2,766.20 = 1,164.80/x
3. Step 3: Cross multiply
   2,004.24x = 2,766.20 × 1,164.80
4. Step 4: Simplify right side
   2,004.24x = 3,222,069.76
5. Step 5: Solve for x
   x = 3,222,069.76/2,004.24
6. Step 6: Final answer
   x = 1,607.63