Finding the Fourth Proportional to 2,208.47, 3,306.78 and 1,166.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,208.47 : 3,306.78 = 1,166.31 : x
2. Step 2: Convert to fraction form
   2,208.47/3,306.78 = 1,166.31/x
3. Step 3: Cross multiply
   2,208.47x = 3,306.78 × 1,166.31
4. Step 4: Simplify right side
   2,208.47x = 3,856,730.58
5. Step 5: Solve for x
   x = 3,856,730.58/2,208.47
6. Step 6: Final answer
   x = 1,746.34