Finding the Fourth Proportional to 6,812.34, 10,222.83 and 3,694.47

Step by Step Solution

1. Step 1: Write the proportion equation
   6,812.34 : 10,222.83 = 3,694.47 : x
2. Step 2: Convert to fraction form
   6,812.34/10,222.83 = 3,694.47/x
3. Step 3: Cross multiply
   6,812.34x = 10,222.83 × 3,694.47
4. Step 4: Simplify right side
   6,812.34x = 37,767,938.75
5. Step 5: Solve for x
   x = 37,767,938.75/6,812.34
6. Step 6: Final answer
   x = 5,544.05