Finding the Fourth Proportional to 1,146.72, 1,718.40 and 512.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.72 : 1,718.40 = 512.73 : x
2. Step 2: Convert to fraction form
   1,146.72/1,718.40 = 512.73/x
3. Step 3: Cross multiply
   1,146.72x = 1,718.40 × 512.73
4. Step 4: Simplify right side
   1,146.72x = 881,069.52
5. Step 5: Solve for x
   x = 881,069.52/1,146.72
6. Step 6: Final answer
   x = 768.34