Finding the Fourth Proportional to 1,003.98, 1,506.73 and 456.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.98 : 1,506.73 = 456.54 : x
2. Step 2: Convert to fraction form
   1,003.98/1,506.73 = 456.54/x
3. Step 3: Cross multiply
   1,003.98x = 1,506.73 × 456.54
4. Step 4: Simplify right side
   1,003.98x = 687,882.51
5. Step 5: Solve for x
   x = 687,882.51/1,003.98
6. Step 6: Final answer
   x = 685.16