Finding the Fourth Proportional to 1,078.21, 1,488.49 and 725.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,078.21 : 1,488.49 = 725.98 : x
2. Step 2: Convert to fraction form
   1,078.21/1,488.49 = 725.98/x
3. Step 3: Cross multiply
   1,078.21x = 1,488.49 × 725.98
4. Step 4: Simplify right side
   1,078.21x = 1,080,610.34
5. Step 5: Solve for x
   x = 1,080,610.34/1,078.21
6. Step 6: Final answer
   x = 1,002.23