Finding the Fourth Proportional to 11,233.75, 16,849.27 and 3,838.05

Step by Step Solution

1. Step 1: Write the proportion equation
   11,233.75 : 16,849.27 = 3,838.05 : x
2. Step 2: Convert to fraction form
   11,233.75/16,849.27 = 3,838.05/x
3. Step 3: Cross multiply
   11,233.75x = 16,849.27 × 3,838.05
4. Step 4: Simplify right side
   11,233.75x = 64,668,340.72
5. Step 5: Solve for x
   x = 64,668,340.72/11,233.75
6. Step 6: Final answer
   x = 5,756.61