Finding the Fourth Proportional to 1,282.69, 1,923.56 and 460.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282.69 : 1,923.56 = 460.74 : x
2. Step 2: Convert to fraction form
   1,282.69/1,923.56 = 460.74/x
3. Step 3: Cross multiply
   1,282.69x = 1,923.56 × 460.74
4. Step 4: Simplify right side
   1,282.69x = 886,258.73
5. Step 5: Solve for x
   x = 886,258.73/1,282.69
6. Step 6: Final answer
   x = 690.94