Finding the Fourth Proportional to 10,838.35, 16,258.83 and 3,816.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838.35 : 16,258.83 = 3,816.91 : x
2. Step 2: Convert to fraction form
   10,838.35/16,258.83 = 3,816.91/x
3. Step 3: Cross multiply
   10,838.35x = 16,258.83 × 3,816.91
4. Step 4: Simplify right side
   10,838.35x = 62,058,553.29
5. Step 5: Solve for x
   x = 62,058,553.29/10,838.35
6. Step 6: Final answer
   x = 5,725.83