Finding the Fourth Proportional to 12,914.85, 19,366.52 and 3,678.69

Step by Step Solution

1. Step 1: Write the proportion equation
   12,914.85 : 19,366.52 = 3,678.69 : x
2. Step 2: Convert to fraction form
   12,914.85/19,366.52 = 3,678.69/x
3. Step 3: Cross multiply
   12,914.85x = 19,366.52 × 3,678.69
4. Step 4: Simplify right side
   12,914.85x = 71,243,405.07
5. Step 5: Solve for x
   x = 71,243,405.07/12,914.85
6. Step 6: Final answer
   x = 5,516.39