Finding the Fourth Proportional to 1,322.52, 1,983.72 and 456.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.52 : 1,983.72 = 456.72 : x
2. Step 2: Convert to fraction form
   1,322.52/1,983.72 = 456.72/x
3. Step 3: Cross multiply
   1,322.52x = 1,983.72 × 456.72
4. Step 4: Simplify right side
   1,322.52x = 906,004.60
5. Step 5: Solve for x
   x = 906,004.60/1,322.52
6. Step 6: Final answer
   x = 685.06