Finding the Fourth Proportional to 1,162.02, 1,743.93 and 513.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.02 : 1,743.93 = 513.21 : x
2. Step 2: Convert to fraction form
   1,162.02/1,743.93 = 513.21/x
3. Step 3: Cross multiply
   1,162.02x = 1,743.93 × 513.21
4. Step 4: Simplify right side
   1,162.02x = 895,002.32
5. Step 5: Solve for x
   x = 895,002.32/1,162.02
6. Step 6: Final answer
   x = 770.21