Finding the Fourth Proportional to 6,787.42, 9,365.82 and 3,802.57

Step by Step Solution

1. Step 1: Write the proportion equation
   6,787.42 : 9,365.82 = 3,802.57 : x
2. Step 2: Convert to fraction form
   6,787.42/9,365.82 = 3,802.57/x
3. Step 3: Cross multiply
   6,787.42x = 9,365.82 × 3,802.57
4. Step 4: Simplify right side
   6,787.42x = 35,614,186.16
5. Step 5: Solve for x
   x = 35,614,186.16/6,787.42
6. Step 6: Final answer
   x = 5,247.09