Finding the Fourth Proportional to 1,293.98, 1,785.72 and 726.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,293.98 : 1,785.72 = 726.80 : x
2. Step 2: Convert to fraction form
   1,293.98/1,785.72 = 726.80/x
3. Step 3: Cross multiply
   1,293.98x = 1,785.72 × 726.80
4. Step 4: Simplify right side
   1,293.98x = 1,297,861.30
5. Step 5: Solve for x
   x = 1,297,861.30/1,293.98
6. Step 6: Final answer
   x = 1,003.00