Finding the Fourth Proportional to 1,033.79, 1,550.86 and 513.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,033.79 : 1,550.86 = 513.82 : x
2. Step 2: Convert to fraction form
   1,033.79/1,550.86 = 513.82/x
3. Step 3: Cross multiply
   1,033.79x = 1,550.86 × 513.82
4. Step 4: Simplify right side
   1,033.79x = 796,862.89
5. Step 5: Solve for x
   x = 796,862.89/1,033.79
6. Step 6: Final answer
   x = 770.82