Finding the Fourth Proportional to 1,322.72, 1,983.20 and 456.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.72 : 1,983.20 = 456.83 : x
2. Step 2: Convert to fraction form
   1,322.72/1,983.20 = 456.83/x
3. Step 3: Cross multiply
   1,322.72x = 1,983.20 × 456.83
4. Step 4: Simplify right side
   1,322.72x = 905,973.06
5. Step 5: Solve for x
   x = 905,973.06/1,322.72
6. Step 6: Final answer
   x = 684.93