Finding the Fourth Proportional to 2,538.20, 3,807.89 and 806.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.20 : 3,807.89 = 806.82 : x
2. Step 2: Convert to fraction form
   2,538.20/3,807.89 = 806.82/x
3. Step 3: Cross multiply
   2,538.20x = 3,807.89 × 806.82
4. Step 4: Simplify right side
   2,538.20x = 3,072,283.83
5. Step 5: Solve for x
   x = 3,072,283.83/2,538.20
6. Step 6: Final answer
   x = 1,210.42