Finding the Fourth Proportional to 6,978.28, 9,629.67 and 3,833.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.28 : 9,629.67 = 3,833.86 : x
2. Step 2: Convert to fraction form
   6,978.28/9,629.67 = 3,833.86/x
3. Step 3: Cross multiply
   6,978.28x = 9,629.67 × 3,833.86
4. Step 4: Simplify right side
   6,978.28x = 36,918,806.63
5. Step 5: Solve for x
   x = 36,918,806.63/6,978.28
6. Step 6: Final answer
   x = 5,290.53