Finding the Fourth Proportional to 3,842.17, 5,765.38 and 3,563.33

Step by Step Solution

1. Step 1: Write the proportion equation
   3,842.17 : 5,765.38 = 3,563.33 : x
2. Step 2: Convert to fraction form
   3,842.17/5,765.38 = 3,563.33/x
3. Step 3: Cross multiply
   3,842.17x = 5,765.38 × 3,563.33
4. Step 4: Simplify right side
   3,842.17x = 20,543,913.78
5. Step 5: Solve for x
   x = 20,543,913.78/3,842.17
6. Step 6: Final answer
   x = 5,346.96