Finding the Fourth Proportional to 1,259.81, 1,738.67 and 728.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,259.81 : 1,738.67 = 728.72 : x
2. Step 2: Convert to fraction form
   1,259.81/1,738.67 = 728.72/x
3. Step 3: Cross multiply
   1,259.81x = 1,738.67 × 728.72
4. Step 4: Simplify right side
   1,259.81x = 1,266,991.27
5. Step 5: Solve for x
   x = 1,266,991.27/1,259.81
6. Step 6: Final answer
   x = 1,005.70