Finding the Fourth Proportional to 2,004.80, 2,766.22 and 1,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.80 : 2,766.22 = 1,165.50 : x
2. Step 2: Convert to fraction form
   2,004.80/2,766.22 = 1,165.50/x
3. Step 3: Cross multiply
   2,004.80x = 2,766.22 × 1,165.50
4. Step 4: Simplify right side
   2,004.80x = 3,224,026.50
5. Step 5: Solve for x
   x = 3,224,026.50/2,004.80
6. Step 6: Final answer
   x = 1,608.16