Finding the Fourth Proportional to 2,538.28, 3,807.90 and 806.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.28 : 3,807.90 = 806.56 : x
2. Step 2: Convert to fraction form
   2,538.28/3,807.90 = 806.56/x
3. Step 3: Cross multiply
   2,538.28x = 3,807.90 × 806.56
4. Step 4: Simplify right side
   2,538.28x = 3,071,299.82
5. Step 5: Solve for x
   x = 3,071,299.82/2,538.28
6. Step 6: Final answer
   x = 1,209.99