Finding the Fourth Proportional to 12,814.18, 19,215.50 and 5,414.83

Step by Step Solution

1. Step 1: Write the proportion equation
   12,814.18 : 19,215.50 = 5,414.83 : x
2. Step 2: Convert to fraction form
   12,814.18/19,215.50 = 5,414.83/x
3. Step 3: Cross multiply
   12,814.18x = 19,215.50 × 5,414.83
4. Step 4: Simplify right side
   12,814.18x = 104,048,542.71
5. Step 5: Solve for x
   x = 104,048,542.71/12,814.18
6. Step 6: Final answer
   x = 8,119.80