Finding the Fourth Proportional to 3,694.62, 5,096.31 and 2,516.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,694.62 : 5,096.31 = 2,516.22 : x
2. Step 2: Convert to fraction form
   3,694.62/5,096.31 = 2,516.22/x
3. Step 3: Cross multiply
   3,694.62x = 5,096.31 × 2,516.22
4. Step 4: Simplify right side
   3,694.62x = 12,823,437.15
5. Step 5: Solve for x
   x = 12,823,437.15/3,694.62
6. Step 6: Final answer
   x = 3,470.84