Finding the Fourth Proportional to 2,538.55, 3,807.01 and 806.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.55 : 3,807.01 = 806.77 : x
2. Step 2: Convert to fraction form
   2,538.55/3,807.01 = 806.77/x
3. Step 3: Cross multiply
   2,538.55x = 3,807.01 × 806.77
4. Step 4: Simplify right side
   2,538.55x = 3,071,358.39
5. Step 5: Solve for x
   x = 3,071,358.39/2,538.55
6. Step 6: Final answer
   x = 1,209.89