Finding the Fourth Proportional to 1,314.72, 1,814.24 and 725.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.72 : 1,814.24 = 725.20 : x
2. Step 2: Convert to fraction form
   1,314.72/1,814.24 = 725.20/x
3. Step 3: Cross multiply
   1,314.72x = 1,814.24 × 725.20
4. Step 4: Simplify right side
   1,314.72x = 1,315,686.85
5. Step 5: Solve for x
   x = 1,315,686.85/1,314.72
6. Step 6: Final answer
   x = 1,000.74