Finding the Fourth Proportional to 10,838.16, 16,227.87 and 5,633.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838.16 : 16,227.87 = 5,633.10 : x
2. Step 2: Convert to fraction form
   10,838.16/16,227.87 = 5,633.10/x
3. Step 3: Cross multiply
   10,838.16x = 16,227.87 × 5,633.10
4. Step 4: Simplify right side
   10,838.16x = 91,413,214.50
5. Step 5: Solve for x
   x = 91,413,214.50/10,838.16
6. Step 6: Final answer
   x = 8,434.39