Finding the Fourth Proportional to 1,581.76, 2,182.16 and 952.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.76 : 2,182.16 = 952.29 : x
2. Step 2: Convert to fraction form
   1,581.76/2,182.16 = 952.29/x
3. Step 3: Cross multiply
   1,581.76x = 2,182.16 × 952.29
4. Step 4: Simplify right side
   1,581.76x = 2,078,033.47
5. Step 5: Solve for x
   x = 2,078,033.47/1,581.76
6. Step 6: Final answer
   x = 1,313.75