Finding the Fourth Proportional to 3,836.54, 5,294.61 and 2,158.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,836.54 : 5,294.61 = 2,158.47 : x
2. Step 2: Convert to fraction form
   3,836.54/5,294.61 = 2,158.47/x
3. Step 3: Cross multiply
   3,836.54x = 5,294.61 × 2,158.47
4. Step 4: Simplify right side
   3,836.54x = 11,428,256.85
5. Step 5: Solve for x
   x = 11,428,256.85/3,836.54
6. Step 6: Final answer
   x = 2,978.79