Finding the Fourth Proportional to 6,803.69, 10,196.02 and 3,676.95

Step by Step Solution

1. Step 1: Write the proportion equation
   6,803.69 : 10,196.02 = 3,676.95 : x
2. Step 2: Convert to fraction form
   6,803.69/10,196.02 = 3,676.95/x
3. Step 3: Cross multiply
   6,803.69x = 10,196.02 × 3,676.95
4. Step 4: Simplify right side
   6,803.69x = 37,490,255.74
5. Step 5: Solve for x
   x = 37,490,255.74/6,803.69
6. Step 6: Final answer
   x = 5,510.29