Finding the Fourth Proportional to 10,553.92, 14,563.43 and 5,838.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,553.92 : 14,563.43 = 5,838.10 : x
2. Step 2: Convert to fraction form
   10,553.92/14,563.43 = 5,838.10/x
3. Step 3: Cross multiply
   10,553.92x = 14,563.43 × 5,838.10
4. Step 4: Simplify right side
   10,553.92x = 85,022,760.68
5. Step 5: Solve for x
   x = 85,022,760.68/10,553.92
6. Step 6: Final answer
   x = 8,056.04