Finding the Fourth Proportional to 1,162.06, 1,743.89 and 513.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.06 : 1,743.89 = 513.25 : x
2. Step 2: Convert to fraction form
   1,162.06/1,743.89 = 513.25/x
3. Step 3: Cross multiply
   1,162.06x = 1,743.89 × 513.25
4. Step 4: Simplify right side
   1,162.06x = 895,051.54
5. Step 5: Solve for x
   x = 895,051.54/1,162.06
6. Step 6: Final answer
   x = 770.23