Finding the Fourth Proportional to 2,456.52, 3,682.38 and 975.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.52 : 3,682.38 = 975.25 : x
2. Step 2: Convert to fraction form
   2,456.52/3,682.38 = 975.25/x
3. Step 3: Cross multiply
   2,456.52x = 3,682.38 × 975.25
4. Step 4: Simplify right side
   2,456.52x = 3,591,245.70
5. Step 5: Solve for x
   x = 3,591,245.70/2,456.52
6. Step 6: Final answer
   x = 1,461.92