Finding the Fourth Proportional to 1,253.43, 1,729.86 and 729.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,253.43 : 1,729.86 = 729.57 : x
2. Step 2: Convert to fraction form
   1,253.43/1,729.86 = 729.57/x
3. Step 3: Cross multiply
   1,253.43x = 1,729.86 × 729.57
4. Step 4: Simplify right side
   1,253.43x = 1,262,053.96
5. Step 5: Solve for x
   x = 1,262,053.96/1,253.43
6. Step 6: Final answer
   x = 1,006.88