Finding the Fourth Proportional to 6,906.35, 9,530.78 and 3,762.54

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.35 : 9,530.78 = 3,762.54 : x
2. Step 2: Convert to fraction form
   6,906.35/9,530.78 = 3,762.54/x
3. Step 3: Cross multiply
   6,906.35x = 9,530.78 × 3,762.54
4. Step 4: Simplify right side
   6,906.35x = 35,859,940.98
5. Step 5: Solve for x
   x = 35,859,940.98/6,906.35
6. Step 6: Final answer
   x = 5,192.31