Finding the Fourth Proportional to 10,838.05, 16,261.76 and 3,823.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838.05 : 16,261.76 = 3,823.07 : x
2. Step 2: Convert to fraction form
   10,838.05/16,261.76 = 3,823.07/x
3. Step 3: Cross multiply
   10,838.05x = 16,261.76 × 3,823.07
4. Step 4: Simplify right side
   10,838.05x = 62,169,775.05
5. Step 5: Solve for x
   x = 62,169,775.05/10,838.05
6. Step 6: Final answer
   x = 5,736.25