Finding the Fourth Proportional to 3,836.82, 5,294.55 and 2,158.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,836.82 : 5,294.55 = 2,158.40 : x
2. Step 2: Convert to fraction form
   3,836.82/5,294.55 = 2,158.40/x
3. Step 3: Cross multiply
   3,836.82x = 5,294.55 × 2,158.40
4. Step 4: Simplify right side
   3,836.82x = 11,427,756.72
5. Step 5: Solve for x
   x = 11,427,756.72/3,836.82
6. Step 6: Final answer
   x = 2,978.44