Finding the Fourth Proportional to 6,802.58, 10,196.67 and 3,874.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,802.58 : 10,196.67 = 3,874.61 : x
2. Step 2: Convert to fraction form
   6,802.58/10,196.67 = 3,874.61/x
3. Step 3: Cross multiply
   6,802.58x = 10,196.67 × 3,874.61
4. Step 4: Simplify right side
   6,802.58x = 39,508,119.55
5. Step 5: Solve for x
   x = 39,508,119.55/6,802.58
6. Step 6: Final answer
   x = 5,807.81