Finding the Fourth Proportional to 1,461.72, 2,016.10 and 964.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.72 : 2,016.10 = 964.74 : x
2. Step 2: Convert to fraction form
   1,461.72/2,016.10 = 964.74/x
3. Step 3: Cross multiply
   1,461.72x = 2,016.10 × 964.74
4. Step 4: Simplify right side
   1,461.72x = 1,945,012.31
5. Step 5: Solve for x
   x = 1,945,012.31/1,461.72
6. Step 6: Final answer
   x = 1,330.63