Finding the Fourth Proportional to 2,538.10, 3,807.21 and 806.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.10 : 3,807.21 = 806.71 : x
2. Step 2: Convert to fraction form
   2,538.10/3,807.21 = 806.71/x
3. Step 3: Cross multiply
   2,538.10x = 3,807.21 × 806.71
4. Step 4: Simplify right side
   2,538.10x = 3,071,314.38
5. Step 5: Solve for x
   x = 3,071,314.38/2,538.10
6. Step 6: Final answer
   x = 1,210.08