Finding the Fourth Proportional to 6,786.86, 9,365.33 and 3,802.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,786.86 : 9,365.33 = 3,802.02 : x
2. Step 2: Convert to fraction form
   6,786.86/9,365.33 = 3,802.02/x
3. Step 3: Cross multiply
   6,786.86x = 9,365.33 × 3,802.02
4. Step 4: Simplify right side
   6,786.86x = 35,607,171.97
5. Step 5: Solve for x
   x = 35,607,171.97/6,786.86
6. Step 6: Final answer
   x = 5,246.49