Finding the Fourth Proportional to 3,992.29, 5,469.46 and 3,842.65

Step by Step Solution

1. Step 1: Write the proportion equation
   3,992.29 : 5,469.46 = 3,842.65 : x
2. Step 2: Convert to fraction form
   3,992.29/5,469.46 = 3,842.65/x
3. Step 3: Cross multiply
   3,992.29x = 5,469.46 × 3,842.65
4. Step 4: Simplify right side
   3,992.29x = 21,017,211.60
5. Step 5: Solve for x
   x = 21,017,211.60/3,992.29
6. Step 6: Final answer
   x = 5,264.45