Finding the Fourth Proportional to 1,292.27, 1,937.31 and 512.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,292.27 : 1,937.31 = 512.82 : x
2. Step 2: Convert to fraction form
   1,292.27/1,937.31 = 512.82/x
3. Step 3: Cross multiply
   1,292.27x = 1,937.31 × 512.82
4. Step 4: Simplify right side
   1,292.27x = 993,498.58
5. Step 5: Solve for x
   x = 993,498.58/1,292.27
6. Step 6: Final answer
   x = 768.80