Finding the Fourth Proportional to 2,538.52, 3,807.24 and 806.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.52 : 3,807.24 = 806.74 : x
2. Step 2: Convert to fraction form
   2,538.52/3,807.24 = 806.74/x
3. Step 3: Cross multiply
   2,538.52x = 3,807.24 × 806.74
4. Step 4: Simplify right side
   2,538.52x = 3,071,452.80
5. Step 5: Solve for x
   x = 3,071,452.80/2,538.52
6. Step 6: Final answer
   x = 1,209.94