Finding the Fourth Proportional to 1,150.39, 1,725.99 and 456.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.39 : 1,725.99 = 456.83 : x
2. Step 2: Convert to fraction form
   1,150.39/1,725.99 = 456.83/x
3. Step 3: Cross multiply
   1,150.39x = 1,725.99 × 456.83
4. Step 4: Simplify right side
   1,150.39x = 788,484.01
5. Step 5: Solve for x
   x = 788,484.01/1,150.39
6. Step 6: Final answer
   x = 685.41