Finding the Fourth Proportional to 1,513.46, 2,270.56 and 820.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.46 : 2,270.56 = 820.82 : x
2. Step 2: Convert to fraction form
   1,513.46/2,270.56 = 820.82/x
3. Step 3: Cross multiply
   1,513.46x = 2,270.56 × 820.82
4. Step 4: Simplify right side
   1,513.46x = 1,863,721.06
5. Step 5: Solve for x
   x = 1,863,721.06/1,513.46
6. Step 6: Final answer
   x = 1,231.43