Finding the Fourth Proportional to 1,061.83, 1,591.35 and 513.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.83 : 1,591.35 = 513.26 : x
2. Step 2: Convert to fraction form
   1,061.83/1,591.35 = 513.26/x
3. Step 3: Cross multiply
   1,061.83x = 1,591.35 × 513.26
4. Step 4: Simplify right side
   1,061.83x = 816,776.30
5. Step 5: Solve for x
   x = 816,776.30/1,061.83
6. Step 6: Final answer
   x = 769.22