Finding the Fourth Proportional to 1,456.26, 2,181.50 and 687.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.26 : 2,181.50 = 687.30 : x
2. Step 2: Convert to fraction form
   1,456.26/2,181.50 = 687.30/x
3. Step 3: Cross multiply
   1,456.26x = 2,181.50 × 687.30
4. Step 4: Simplify right side
   1,456.26x = 1,499,344.95
5. Step 5: Solve for x
   x = 1,499,344.95/1,456.26
6. Step 6: Final answer
   x = 1,029.59