Finding the Fourth Proportional to 12,814.91, 19,215.36 and 5,786.67

Step by Step Solution

1. Step 1: Write the proportion equation
   12,814.91 : 19,215.36 = 5,786.67 : x
2. Step 2: Convert to fraction form
   12,814.91/19,215.36 = 5,786.67/x
3. Step 3: Cross multiply
   12,814.91x = 19,215.36 × 5,786.67
4. Step 4: Simplify right side
   12,814.91x = 111,193,019.31
5. Step 5: Solve for x
   x = 111,193,019.31/12,814.91
6. Step 6: Final answer
   x = 8,676.85