Finding the Fourth Proportional to 1,162.62, 1,744.49 and 513.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.62 : 1,744.49 = 513.27 : x
2. Step 2: Convert to fraction form
   1,162.62/1,744.49 = 513.27/x
3. Step 3: Cross multiply
   1,162.62x = 1,744.49 × 513.27
4. Step 4: Simplify right side
   1,162.62x = 895,395.67
5. Step 5: Solve for x
   x = 895,395.67/1,162.62
6. Step 6: Final answer
   x = 770.15