Finding the Fourth Proportional to 10,585.49, 15,872.56 and 3,563.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.49 : 15,872.56 = 3,563.17 : x
2. Step 2: Convert to fraction form
   10,585.49/15,872.56 = 3,563.17/x
3. Step 3: Cross multiply
   10,585.49x = 15,872.56 × 3,563.17
4. Step 4: Simplify right side
   10,585.49x = 56,556,581.03
5. Step 5: Solve for x
   x = 56,556,581.03/10,585.49
6. Step 6: Final answer
   x = 5,342.84