Finding the Fourth Proportional to 1,456.60, 2,185.71 and 807.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.60 : 2,185.71 = 807.25 : x
2. Step 2: Convert to fraction form
   1,456.60/2,185.71 = 807.25/x
3. Step 3: Cross multiply
   1,456.60x = 2,185.71 × 807.25
4. Step 4: Simplify right side
   1,456.60x = 1,764,414.40
5. Step 5: Solve for x
   x = 1,764,414.40/1,456.60
6. Step 6: Final answer
   x = 1,211.32