Finding the Fourth Proportional to 1,456.52, 2,185.12 and 430.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.52 : 2,185.12 = 430.52 : x
2. Step 2: Convert to fraction form
   1,456.52/2,185.12 = 430.52/x
3. Step 3: Cross multiply
   1,456.52x = 2,185.12 × 430.52
4. Step 4: Simplify right side
   1,456.52x = 940,737.86
5. Step 5: Solve for x
   x = 940,737.86/1,456.52
6. Step 6: Final answer
   x = 645.88