Finding the Fourth Proportional to 6,786.30, 9,365.06 and 3,802.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,786.30 : 9,365.06 = 3,802.06 : x
2. Step 2: Convert to fraction form
   6,786.30/9,365.06 = 3,802.06/x
3. Step 3: Cross multiply
   6,786.30x = 9,365.06 × 3,802.06
4. Step 4: Simplify right side
   6,786.30x = 35,606,477.86
5. Step 5: Solve for x
   x = 35,606,477.86/6,786.30
6. Step 6: Final answer
   x = 5,246.82