Finding the Fourth Proportional to 1,581.50, 2,182.53 and 960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.50 : 2,182.53 = 960.50 : x
2. Step 2: Convert to fraction form
   1,581.50/2,182.53 = 960.50/x
3. Step 3: Cross multiply
   1,581.50x = 2,182.53 × 960.50
4. Step 4: Simplify right side
   1,581.50x = 2,096,320.07
5. Step 5: Solve for x
   x = 2,096,320.07/1,581.50
6. Step 6: Final answer
   x = 1,325.53