Finding the Fourth Proportional to 6,906.02, 9,530.30 and 3,762.20

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906.02 : 9,530.30 = 3,762.20 : x
2. Step 2: Convert to fraction form
   6,906.02/9,530.30 = 3,762.20/x
3. Step 3: Cross multiply
   6,906.02x = 9,530.30 × 3,762.20
4. Step 4: Simplify right side
   6,906.02x = 35,854,936.83
5. Step 5: Solve for x
   x = 35,854,936.83/6,906.02
6. Step 6: Final answer
   x = 5,191.84