Finding the Fourth Proportional to 6,769.89, 9,342.57 and 3,786.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,769.89 : 9,342.57 = 3,786.05 : x
2. Step 2: Convert to fraction form
   6,769.89/9,342.57 = 3,786.05/x
3. Step 3: Cross multiply
   6,769.89x = 9,342.57 × 3,786.05
4. Step 4: Simplify right side
   6,769.89x = 35,371,474.70
5. Step 5: Solve for x
   x = 35,371,474.70/6,769.89
6. Step 6: Final answer
   x = 5,224.82