Finding the Fourth Proportional to 6,978.00, 9,629.63 and 3,834.18

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.00 : 9,629.63 = 3,834.18 : x
2. Step 2: Convert to fraction form
   6,978.00/9,629.63 = 3,834.18/x
3. Step 3: Cross multiply
   6,978.00x = 9,629.63 × 3,834.18
4. Step 4: Simplify right side
   6,978.00x = 36,921,749.24
5. Step 5: Solve for x
   x = 36,921,749.24/6,978.00
6. Step 6: Final answer
   x = 5,291.17