Finding the Fourth Proportional to 1,581.42, 2,182.41 and 882.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.42 : 2,182.41 = 882.75 : x
2. Step 2: Convert to fraction form
   1,581.42/2,182.41 = 882.75/x
3. Step 3: Cross multiply
   1,581.42x = 2,182.41 × 882.75
4. Step 4: Simplify right side
   1,581.42x = 1,926,522.43
5. Step 5: Solve for x
   x = 1,926,522.43/1,581.42
6. Step 6: Final answer
   x = 1,218.22