Finding the Fourth Proportional to 2,005.74, 2,767.05 and 1,166.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.74 : 2,767.05 = 1,166.16 : x
2. Step 2: Convert to fraction form
   2,005.74/2,767.05 = 1,166.16/x
3. Step 3: Cross multiply
   2,005.74x = 2,767.05 × 1,166.16
4. Step 4: Simplify right side
   2,005.74x = 3,226,823.03
5. Step 5: Solve for x
   x = 3,226,823.03/2,005.74
6. Step 6: Final answer
   x = 1,608.79