Finding the Fourth Proportional to 1,511.50, 2,085.69 and 882.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,511.50 : 2,085.69 = 882.16 : x
2. Step 2: Convert to fraction form
   1,511.50/2,085.69 = 882.16/x
3. Step 3: Cross multiply
   1,511.50x = 2,085.69 × 882.16
4. Step 4: Simplify right side
   1,511.50x = 1,839,912.29
5. Step 5: Solve for x
   x = 1,839,912.29/1,511.50
6. Step 6: Final answer
   x = 1,217.28