Finding the Fourth Proportional to 1,253.80, 1,729.94 and 729.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,253.80 : 1,729.94 = 729.52 : x
2. Step 2: Convert to fraction form
   1,253.80/1,729.94 = 729.52/x
3. Step 3: Cross multiply
   1,253.80x = 1,729.94 × 729.52
4. Step 4: Simplify right side
   1,253.80x = 1,262,025.83
5. Step 5: Solve for x
   x = 1,262,025.83/1,253.80
6. Step 6: Final answer
   x = 1,006.56