Finding the Fourth Proportional to 2,577.92, 3,867.17 and 822.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.92 : 3,867.17 = 822.30 : x
2. Step 2: Convert to fraction form
   2,577.92/3,867.17 = 822.30/x
3. Step 3: Cross multiply
   2,577.92x = 3,867.17 × 822.30
4. Step 4: Simplify right side
   2,577.92x = 3,179,973.89
5. Step 5: Solve for x
   x = 3,179,973.89/2,577.92
6. Step 6: Final answer
   x = 1,233.54