Finding the Fourth Proportional to 1,580.67, 2,181.41 and 882.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,580.67 : 2,181.41 = 882.09 : x
2. Step 2: Convert to fraction form
   1,580.67/2,181.41 = 882.09/x
3. Step 3: Cross multiply
   1,580.67x = 2,181.41 × 882.09
4. Step 4: Simplify right side
   1,580.67x = 1,924,191.25
5. Step 5: Solve for x
   x = 1,924,191.25/1,580.67
6. Step 6: Final answer
   x = 1,217.33