Finding the Fourth Proportional to 2,054.62, 3,083.42 and 822.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,054.62 : 3,083.42 = 822.38 : x
2. Step 2: Convert to fraction form
   2,054.62/3,083.42 = 822.38/x
3. Step 3: Cross multiply
   2,054.62x = 3,083.42 × 822.38
4. Step 4: Simplify right side
   2,054.62x = 2,535,742.94
5. Step 5: Solve for x
   x = 2,535,742.94/2,054.62
6. Step 6: Final answer
   x = 1,234.17