Finding the Fourth Proportional to 1,025.82, 1,415.61 and 727.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.82 : 1,415.61 = 727.02 : x
2. Step 2: Convert to fraction form
   1,025.82/1,415.61 = 727.02/x
3. Step 3: Cross multiply
   1,025.82x = 1,415.61 × 727.02
4. Step 4: Simplify right side
   1,025.82x = 1,029,176.78
5. Step 5: Solve for x
   x = 1,029,176.78/1,025.82
6. Step 6: Final answer
   x = 1,003.27