Finding the Fourth Proportional to 3,842.79, 5,766.32 and 3,563.95

Step by Step Solution

1. Step 1: Write the proportion equation
   3,842.79 : 5,766.32 = 3,563.95 : x
2. Step 2: Convert to fraction form
   3,842.79/5,766.32 = 3,563.95/x
3. Step 3: Cross multiply
   3,842.79x = 5,766.32 × 3,563.95
4. Step 4: Simplify right side
   3,842.79x = 20,550,876.16
5. Step 5: Solve for x
   x = 20,550,876.16/3,842.79
6. Step 6: Final answer
   x = 5,347.91