Finding the Fourth Proportional to 10,031.82, 13,819.76 and 8,438.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,031.82 : 13,819.76 = 8,438.49 : x
2. Step 2: Convert to fraction form
   10,031.82/13,819.76 = 8,438.49/x
3. Step 3: Cross multiply
   10,031.82x = 13,819.76 × 8,438.49
4. Step 4: Simplify right side
   10,031.82x = 116,617,864.37
5. Step 5: Solve for x
   x = 116,617,864.37/10,031.82
6. Step 6: Final answer
   x = 11,624.80