Finding the Fourth Proportional to 1,461.38, 2,016.70 and 964.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.38 : 2,016.70 = 964.85 : x
2. Step 2: Convert to fraction form
   1,461.38/2,016.70 = 964.85/x
3. Step 3: Cross multiply
   1,461.38x = 2,016.70 × 964.85
4. Step 4: Simplify right side
   1,461.38x = 1,945,800.50
5. Step 5: Solve for x
   x = 1,945,800.50/1,461.38
6. Step 6: Final answer
   x = 1,331.49