Finding the Fourth Proportional to 2,465.54, 3,698.89 and 822.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.54 : 3,698.89 = 822.10 : x
2. Step 2: Convert to fraction form
   2,465.54/3,698.89 = 822.10/x
3. Step 3: Cross multiply
   2,465.54x = 3,698.89 × 822.10
4. Step 4: Simplify right side
   2,465.54x = 3,040,838.97
5. Step 5: Solve for x
   x = 3,040,838.97/2,465.54
6. Step 6: Final answer
   x = 1,233.34