Finding the Fourth Proportional to 6,804.06, 10,196.19 and 3,681.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,804.06 : 10,196.19 = 3,681.42 : x
2. Step 2: Convert to fraction form
   6,804.06/10,196.19 = 3,681.42/x
3. Step 3: Cross multiply
   6,804.06x = 10,196.19 × 3,681.42
4. Step 4: Simplify right side
   6,804.06x = 37,536,457.79
5. Step 5: Solve for x
   x = 37,536,457.79/6,804.06
6. Step 6: Final answer
   x = 5,516.77