Finding the Fourth Proportional to 1,162.83, 1,744.47 and 513.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.83 : 1,744.47 = 513.57 : x
2. Step 2: Convert to fraction form
   1,162.83/1,744.47 = 513.57/x
3. Step 3: Cross multiply
   1,162.83x = 1,744.47 × 513.57
4. Step 4: Simplify right side
   1,162.83x = 895,907.46
5. Step 5: Solve for x
   x = 895,907.46/1,162.83
6. Step 6: Final answer
   x = 770.45