Finding the Fourth Proportional to 2,536, 3,804.56 and 1,076.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,536 : 3,804.56 = 1,076.40 : x
2. Step 2: Convert to fraction form
   2,536/3,804.56 = 1,076.40/x
3. Step 3: Cross multiply
   2,536x = 3,804.56 × 1,076.40
4. Step 4: Simplify right side
   2,536x = 4,095,228.38
5. Step 5: Solve for x
   x = 4,095,228.38/2,536
6. Step 6: Final answer
   x = 1,614.84