Finding the Fourth Proportional to 6,906.40, 9,530.72 and 3,762.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.40 : 9,530.72 = 3,762.52 : x
2. Step 2: Convert to fraction form
   6,906.40/9,530.72 = 3,762.52/x
3. Step 3: Cross multiply
   6,906.40x = 9,530.72 × 3,762.52
4. Step 4: Simplify right side
   6,906.40x = 35,859,524.61
5. Step 5: Solve for x
   x = 35,859,524.61/6,906.40
6. Step 6: Final answer
   x = 5,192.22