Finding the Fourth Proportional to 1,149.34, 1,724.34 and 456.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,149.34 : 1,724.34 = 456.10 : x
2. Step 2: Convert to fraction form
   1,149.34/1,724.34 = 456.10/x
3. Step 3: Cross multiply
   1,149.34x = 1,724.34 × 456.10
4. Step 4: Simplify right side
   1,149.34x = 786,471.47
5. Step 5: Solve for x
   x = 786,471.47/1,149.34
6. Step 6: Final answer
   x = 684.28