Finding the Fourth Proportional to 10,838.21, 16,259.60 and 3,817.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838.21 : 16,259.60 = 3,817.94 : x
2. Step 2: Convert to fraction form
   10,838.21/16,259.60 = 3,817.94/x
3. Step 3: Cross multiply
   10,838.21x = 16,259.60 × 3,817.94
4. Step 4: Simplify right side
   10,838.21x = 62,078,105.47
5. Step 5: Solve for x
   x = 62,078,105.47/10,838.21
6. Step 6: Final answer
   x = 5,727.71