Finding the Fourth Proportional to 1,404.80, 2,116.71 and 1,166.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.80 : 2,116.71 = 1,166.66 : x
2. Step 2: Convert to fraction form
   1,404.80/2,116.71 = 1,166.66/x
3. Step 3: Cross multiply
   1,404.80x = 2,116.71 × 1,166.66
4. Step 4: Simplify right side
   1,404.80x = 2,469,470.31
5. Step 5: Solve for x
   x = 2,469,470.31/1,404.80
6. Step 6: Final answer
   x = 1,757.89