Finding the Fourth Proportional to 1,456.50, 2,185.12 and 430.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.50 : 2,185.12 = 430.50 : x
2. Step 2: Convert to fraction form
   1,456.50/2,185.12 = 430.50/x
3. Step 3: Cross multiply
   1,456.50x = 2,185.12 × 430.50
4. Step 4: Simplify right side
   1,456.50x = 940,694.16
5. Step 5: Solve for x
   x = 940,694.16/1,456.50
6. Step 6: Final answer
   x = 645.86