Finding the Fourth Proportional to 1,456.16, 2,181.50 and 725.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.16 : 2,181.50 = 725.34 : x
2. Step 2: Convert to fraction form
   1,456.16/2,181.50 = 725.34/x
3. Step 3: Cross multiply
   1,456.16x = 2,181.50 × 725.34
4. Step 4: Simplify right side
   1,456.16x = 1,582,329.21
5. Step 5: Solve for x
   x = 1,582,329.21/1,456.16
6. Step 6: Final answer
   x = 1,086.65