Finding the Fourth Proportional to 1,282.31, 1,923.56 and 460.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282.31 : 1,923.56 = 460.83 : x
2. Step 2: Convert to fraction form
   1,282.31/1,923.56 = 460.83/x
3. Step 3: Cross multiply
   1,282.31x = 1,923.56 × 460.83
4. Step 4: Simplify right side
   1,282.31x = 886,434.15
5. Step 5: Solve for x
   x = 886,434.15/1,282.31
6. Step 6: Final answer
   x = 691.28