Finding the Fourth Proportional to 10,031.78, 13,846.17 and 9,563.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,031.78 : 13,846.17 = 9,563.06 : x
2. Step 2: Convert to fraction form
   10,031.78/13,846.17 = 9,563.06/x
3. Step 3: Cross multiply
   10,031.78x = 13,846.17 × 9,563.06
4. Step 4: Simplify right side
   10,031.78x = 132,411,754.48
5. Step 5: Solve for x
   x = 132,411,754.48/10,031.78
6. Step 6: Final answer
   x = 13,199.23