Finding the Fourth Proportional to 2,054.89, 3,082.25 and 821.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,054.89 : 3,082.25 = 821.97 : x
2. Step 2: Convert to fraction form
   2,054.89/3,082.25 = 821.97/x
3. Step 3: Cross multiply
   2,054.89x = 3,082.25 × 821.97
4. Step 4: Simplify right side
   2,054.89x = 2,533,517.03
5. Step 5: Solve for x
   x = 2,533,517.03/2,054.89
6. Step 6: Final answer
   x = 1,232.92