Finding the Fourth Proportional to 2,055.15, 3,082.62 and 822.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,055.15 : 3,082.62 = 822.22 : x
2. Step 2: Convert to fraction form
   2,055.15/3,082.62 = 822.22/x
3. Step 3: Cross multiply
   2,055.15x = 3,082.62 × 822.22
4. Step 4: Simplify right side
   2,055.15x = 2,534,591.82
5. Step 5: Solve for x
   x = 2,534,591.82/2,055.15
6. Step 6: Final answer
   x = 1,233.29