Finding the Fourth Proportional to 1,166.73, 1,610.33 and 814.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.73 : 1,610.33 = 814.29 : x
2. Step 2: Convert to fraction form
   1,166.73/1,610.33 = 814.29/x
3. Step 3: Cross multiply
   1,166.73x = 1,610.33 × 814.29
4. Step 4: Simplify right side
   1,166.73x = 1,311,271.54
5. Step 5: Solve for x
   x = 1,311,271.54/1,166.73
6. Step 6: Final answer
   x = 1,123.89