Finding the Fourth Proportional to 1,456.50, 2,181.82 and 675.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.50 : 2,181.82 = 675.40 : x
2. Step 2: Convert to fraction form
   1,456.50/2,181.82 = 675.40/x
3. Step 3: Cross multiply
   1,456.50x = 2,181.82 × 675.40
4. Step 4: Simplify right side
   1,456.50x = 1,473,601.23
5. Step 5: Solve for x
   x = 1,473,601.23/1,456.50
6. Step 6: Final answer
   x = 1,011.74