Finding the Fourth Proportional to 6,628.86, 9,148.02 and 3,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,628.86 : 9,148.02 = 3,796.50 : x
2. Step 2: Convert to fraction form
   6,628.86/9,148.02 = 3,796.50/x
3. Step 3: Cross multiply
   6,628.86x = 9,148.02 × 3,796.50
4. Step 4: Simplify right side
   6,628.86x = 34,730,457.93
5. Step 5: Solve for x
   x = 34,730,457.93/6,628.86
6. Step 6: Final answer
   x = 5,239.28