Finding the Fourth Proportional to 2,208.81, 3,309.33 and 1,166.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,208.81 : 3,309.33 = 1,166.52 : x
2. Step 2: Convert to fraction form
   2,208.81/3,309.33 = 1,166.52/x
3. Step 3: Cross multiply
   2,208.81x = 3,309.33 × 1,166.52
4. Step 4: Simplify right side
   2,208.81x = 3,860,397.27
5. Step 5: Solve for x
   x = 3,860,397.27/2,208.81
6. Step 6: Final answer
   x = 1,747.72