Finding the Fourth Proportional to 1,150.32, 1,725.42 and 456.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.32 : 1,725.42 = 456.96 : x
2. Step 2: Convert to fraction form
   1,150.32/1,725.42 = 456.96/x
3. Step 3: Cross multiply
   1,150.32x = 1,725.42 × 456.96
4. Step 4: Simplify right side
   1,150.32x = 788,447.92
5. Step 5: Solve for x
   x = 788,447.92/1,150.32
6. Step 6: Final answer
   x = 685.42