Finding the Fourth Proportional to 1,581.40, 2,182.33 and 882.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.40 : 2,182.33 = 882.77 : x
2. Step 2: Convert to fraction form
   1,581.40/2,182.33 = 882.77/x
3. Step 3: Cross multiply
   1,581.40x = 2,182.33 × 882.77
4. Step 4: Simplify right side
   1,581.40x = 1,926,502.82
5. Step 5: Solve for x
   x = 1,926,502.82/1,581.40
6. Step 6: Final answer
   x = 1,218.23