Finding the Fourth Proportional to 10,553.68, 14,563.72 and 5,838.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,553.68 : 14,563.72 = 5,838.16 : x
2. Step 2: Convert to fraction form
   10,553.68/14,563.72 = 5,838.16/x
3. Step 3: Cross multiply
   10,553.68x = 14,563.72 × 5,838.16
4. Step 4: Simplify right side
   10,553.68x = 85,025,327.56
5. Step 5: Solve for x
   x = 85,025,327.56/10,553.68
6. Step 6: Final answer
   x = 8,056.46