Finding the Fourth Proportional to 2,006.46, 2,768.89 and 1,167.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.46 : 2,768.89 = 1,167.20 : x
2. Step 2: Convert to fraction form
   2,006.46/2,768.89 = 1,167.20/x
3. Step 3: Cross multiply
   2,006.46x = 2,768.89 × 1,167.20
4. Step 4: Simplify right side
   2,006.46x = 3,231,842.57
5. Step 5: Solve for x
   x = 3,231,842.57/2,006.46
6. Step 6: Final answer
   x = 1,610.72