Finding the Fourth Proportional to 6,906.30, 9,530.82 and 3,762.54

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.30 : 9,530.82 = 3,762.54 : x
2. Step 2: Convert to fraction form
   6,906.30/9,530.82 = 3,762.54/x
3. Step 3: Cross multiply
   6,906.30x = 9,530.82 × 3,762.54
4. Step 4: Simplify right side
   6,906.30x = 35,860,091.48
5. Step 5: Solve for x
   x = 35,860,091.48/6,906.30
6. Step 6: Final answer
   x = 5,192.37