Finding the Fourth Proportional to 1,581.50, 2,182.50 and 882.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.50 : 2,182.50 = 882.86 : x
2. Step 2: Convert to fraction form
   1,581.50/2,182.50 = 882.86/x
3. Step 3: Cross multiply
   1,581.50x = 2,182.50 × 882.86
4. Step 4: Simplify right side
   1,581.50x = 1,926,841.95
5. Step 5: Solve for x
   x = 1,926,841.95/1,581.50
6. Step 6: Final answer
   x = 1,218.36