Finding the Fourth Proportional to 10,857.61, 16,256.46 and 5,581.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,857.61 : 16,256.46 = 5,581.24 : x
2. Step 2: Convert to fraction form
   10,857.61/16,256.46 = 5,581.24/x
3. Step 3: Cross multiply
   10,857.61x = 16,256.46 × 5,581.24
4. Step 4: Simplify right side
   10,857.61x = 90,731,185.10
5. Step 5: Solve for x
   x = 90,731,185.10/10,857.61
6. Step 6: Final answer
   x = 8,356.46