Finding the Fourth Proportional to 1,150.70, 1,725.42 and 456.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.70 : 1,725.42 = 456.67 : x
2. Step 2: Convert to fraction form
   1,150.70/1,725.42 = 456.67/x
3. Step 3: Cross multiply
   1,150.70x = 1,725.42 × 456.67
4. Step 4: Simplify right side
   1,150.70x = 787,947.55
5. Step 5: Solve for x
   x = 787,947.55/1,150.70
6. Step 6: Final answer
   x = 684.75