Finding the Fourth Proportional to 2,538.32, 3,807.96 and 806.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.32 : 3,807.96 = 806.96 : x
2. Step 2: Convert to fraction form
   2,538.32/3,807.96 = 806.96/x
3. Step 3: Cross multiply
   2,538.32x = 3,807.96 × 806.96
4. Step 4: Simplify right side
   2,538.32x = 3,072,871.40
5. Step 5: Solve for x
   x = 3,072,871.40/2,538.32
6. Step 6: Final answer
   x = 1,210.59