Finding the Fourth Proportional to 10,585.56, 15,872.73 and 3,563.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.56 : 15,872.73 = 3,563.24 : x
2. Step 2: Convert to fraction form
   10,585.56/15,872.73 = 3,563.24/x
3. Step 3: Cross multiply
   10,585.56x = 15,872.73 × 3,563.24
4. Step 4: Simplify right side
   10,585.56x = 56,558,253.72
5. Step 5: Solve for x
   x = 56,558,253.72/10,585.56
6. Step 6: Final answer
   x = 5,342.96