Finding the Fourth Proportional to 1,580.82, 2,181.60 and 882.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,580.82 : 2,181.60 = 882.24 : x
2. Step 2: Convert to fraction form
   1,580.82/2,181.60 = 882.24/x
3. Step 3: Cross multiply
   1,580.82x = 2,181.60 × 882.24
4. Step 4: Simplify right side
   1,580.82x = 1,924,694.78
5. Step 5: Solve for x
   x = 1,924,694.78/1,580.82
6. Step 6: Final answer
   x = 1,217.53