Finding the Fourth Proportional to 1,253.37, 1,729.71 and 729.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,253.37 : 1,729.71 = 729.57 : x
2. Step 2: Convert to fraction form
   1,253.37/1,729.71 = 729.57/x
3. Step 3: Cross multiply
   1,253.37x = 1,729.71 × 729.57
4. Step 4: Simplify right side
   1,253.37x = 1,261,944.52
5. Step 5: Solve for x
   x = 1,261,944.52/1,253.37
6. Step 6: Final answer
   x = 1,006.84