Finding the Fourth Proportional to 1,431.33, 2,146.89 and 457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,431.33 : 2,146.89 = 457.50 : x
2. Step 2: Convert to fraction form
   1,431.33/2,146.89 = 457.50/x
3. Step 3: Cross multiply
   1,431.33x = 2,146.89 × 457.50
4. Step 4: Simplify right side
   1,431.33x = 982,209.37
5. Step 5: Solve for x
   x = 982,209.37/1,431.33
6. Step 6: Final answer
   x = 686.22