Finding the Fourth Proportional to 2,005.31, 2,766.86 and 1,166.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.31 : 2,766.86 = 1,166.05 : x
2. Step 2: Convert to fraction form
   2,005.31/2,766.86 = 1,166.05/x
3. Step 3: Cross multiply
   2,005.31x = 2,766.86 × 1,166.05
4. Step 4: Simplify right side
   2,005.31x = 3,226,283.54
5. Step 5: Solve for x
   x = 3,226,283.54/2,005.31
6. Step 6: Final answer
   x = 1,608.87