Finding the Fourth Proportional to 6,906.35, 9,530.71 and 3,762.53

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.35 : 9,530.71 = 3,762.53 : x
2. Step 2: Convert to fraction form
   6,906.35/9,530.71 = 3,762.53/x
3. Step 3: Cross multiply
   6,906.35x = 9,530.71 × 3,762.53
4. Step 4: Simplify right side
   6,906.35x = 35,859,582.30
5. Step 5: Solve for x
   x = 35,859,582.30/6,906.35
6. Step 6: Final answer
   x = 5,192.26