Finding the Fourth Proportional to 2,468.61, 3,703.47 and 825.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,468.61 : 3,703.47 = 825.33 : x
2. Step 2: Convert to fraction form
   2,468.61/3,703.47 = 825.33/x
3. Step 3: Cross multiply
   2,468.61x = 3,703.47 × 825.33
4. Step 4: Simplify right side
   2,468.61x = 3,056,584.90
5. Step 5: Solve for x
   x = 3,056,584.90/2,468.61
6. Step 6: Final answer
   x = 1,238.18