Finding the Fourth Proportional to 6,978.16, 9,629.62 and 3,834.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.16 : 9,629.62 = 3,834.16 : x
2. Step 2: Convert to fraction form
   6,978.16/9,629.62 = 3,834.16/x
3. Step 3: Cross multiply
   6,978.16x = 9,629.62 × 3,834.16
4. Step 4: Simplify right side
   6,978.16x = 36,921,503.82
5. Step 5: Solve for x
   x = 36,921,503.82/6,978.16
6. Step 6: Final answer
   x = 5,291.01