Finding the Fourth Proportional to 2,006.29, 2,768.85 and 1,166.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.29 : 2,768.85 = 1,166.94 : x
2. Step 2: Convert to fraction form
   2,006.29/2,768.85 = 1,166.94/x
3. Step 3: Cross multiply
   2,006.29x = 2,768.85 × 1,166.94
4. Step 4: Simplify right side
   2,006.29x = 3,231,081.82
5. Step 5: Solve for x
   x = 3,231,081.82/2,006.29
6. Step 6: Final answer
   x = 1,610.48