Finding the Fourth Proportional to 1,456.54, 2,185.89 and 687.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.54 : 2,185.89 = 687.58 : x
2. Step 2: Convert to fraction form
   1,456.54/2,185.89 = 687.58/x
3. Step 3: Cross multiply
   1,456.54x = 2,185.89 × 687.58
4. Step 4: Simplify right side
   1,456.54x = 1,502,974.25
5. Step 5: Solve for x
   x = 1,502,974.25/1,456.54
6. Step 6: Final answer
   x = 1,031.88