Finding the Fourth Proportional to 1,166.91, 1,608.23 and 946.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.91 : 1,608.23 = 946.40 : x
2. Step 2: Convert to fraction form
   1,166.91/1,608.23 = 946.40/x
3. Step 3: Cross multiply
   1,166.91x = 1,608.23 × 946.40
4. Step 4: Simplify right side
   1,166.91x = 1,522,016.10
5. Step 5: Solve for x
   x = 1,522,016.10/1,166.91
6. Step 6: Final answer
   x = 1,304.31