Finding the Fourth Proportional to 25,826.25, 35,640.24 and 14,648.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,826.25 : 35,640.24 = 14,648.25 : x
2. Step 2: Convert to fraction form
   25,826.25/35,640.24 = 14,648.25/x
3. Step 3: Cross multiply
   25,826.25x = 35,640.24 × 14,648.25
4. Step 4: Simplify right side
   25,826.25x = 522,067,145.58
5. Step 5: Solve for x
   x = 522,067,145.58/25,826.25
6. Step 6: Final answer
   x = 20,214.59