Finding the Fourth Proportional to 1,162.81, 1,743.27 and 513.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.81 : 1,743.27 = 513.46 : x
2. Step 2: Convert to fraction form
   1,162.81/1,743.27 = 513.46/x
3. Step 3: Cross multiply
   1,162.81x = 1,743.27 × 513.46
4. Step 4: Simplify right side
   1,162.81x = 895,099.41
5. Step 5: Solve for x
   x = 895,099.41/1,162.81
6. Step 6: Final answer
   x = 769.77