Finding the Fourth Proportional to 6,628.20, 9,148.61 and 3,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,628.20 : 9,148.61 = 3,796.50 : x
2. Step 2: Convert to fraction form
   6,628.20/9,148.61 = 3,796.50/x
3. Step 3: Cross multiply
   6,628.20x = 9,148.61 × 3,796.50
4. Step 4: Simplify right side
   6,628.20x = 34,732,648.46
5. Step 5: Solve for x
   x = 34,732,648.46/6,628.20
6. Step 6: Final answer
   x = 5,240.13