Finding the Fourth Proportional to 1,456.76, 2,186.10 and 687.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.76 : 2,186.10 = 687.32 : x
2. Step 2: Convert to fraction form
   1,456.76/2,186.10 = 687.32/x
3. Step 3: Cross multiply
   1,456.76x = 2,186.10 × 687.32
4. Step 4: Simplify right side
   1,456.76x = 1,502,550.25
5. Step 5: Solve for x
   x = 1,502,550.25/1,456.76
6. Step 6: Final answer
   x = 1,031.43