Finding the Fourth Proportional to 1,162.56, 1,744.56 and 513.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.56 : 1,744.56 = 513.24 : x
2. Step 2: Convert to fraction form
   1,162.56/1,744.56 = 513.24/x
3. Step 3: Cross multiply
   1,162.56x = 1,744.56 × 513.24
4. Step 4: Simplify right side
   1,162.56x = 895,377.97
5. Step 5: Solve for x
   x = 895,377.97/1,162.56
6. Step 6: Final answer
   x = 770.18