Finding the Fourth Proportional to 1,456.23, 2,182.71 and 725.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.23 : 2,182.71 = 725.34 : x
2. Step 2: Convert to fraction form
   1,456.23/2,182.71 = 725.34/x
3. Step 3: Cross multiply
   1,456.23x = 2,182.71 × 725.34
4. Step 4: Simplify right side
   1,456.23x = 1,583,206.87
5. Step 5: Solve for x
   x = 1,583,206.87/1,456.23
6. Step 6: Final answer
   x = 1,087.20