Finding the Fourth Proportional to 1,564.27, 2,158.96 and 966.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.27 : 2,158.96 = 966.83 : x
2. Step 2: Convert to fraction form
   1,564.27/2,158.96 = 966.83/x
3. Step 3: Cross multiply
   1,564.27x = 2,158.96 × 966.83
4. Step 4: Simplify right side
   1,564.27x = 2,087,348.04
5. Step 5: Solve for x
   x = 2,087,348.04/1,564.27
6. Step 6: Final answer
   x = 1,334.39