Finding the Fourth Proportional to 6,786.56, 9,365.34 and 3,802.37

Step by Step Solution

1. Step 1: Write the proportion equation
   6,786.56 : 9,365.34 = 3,802.37 : x
2. Step 2: Convert to fraction form
   6,786.56/9,365.34 = 3,802.37/x
3. Step 3: Cross multiply
   6,786.56x = 9,365.34 × 3,802.37
4. Step 4: Simplify right side
   6,786.56x = 35,610,487.86
5. Step 5: Solve for x
   x = 35,610,487.86/6,786.56
6. Step 6: Final answer
   x = 5,247.21