Finding the Fourth Proportional to 1,433.73, 2,150.72 and 459.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.73 : 2,150.72 = 459.88 : x
2. Step 2: Convert to fraction form
   1,433.73/2,150.72 = 459.88/x
3. Step 3: Cross multiply
   1,433.73x = 2,150.72 × 459.88
4. Step 4: Simplify right side
   1,433.73x = 989,067.16
5. Step 5: Solve for x
   x = 989,067.16/1,433.73
6. Step 6: Final answer
   x = 689.85