Finding the Fourth Proportional to 6,969.98, 9,618.56 and 3,826.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,969.98 : 9,618.56 = 3,826.16 : x
2. Step 2: Convert to fraction form
   6,969.98/9,618.56 = 3,826.16/x
3. Step 3: Cross multiply
   6,969.98x = 9,618.56 × 3,826.16
4. Step 4: Simplify right side
   6,969.98x = 36,802,149.53
5. Step 5: Solve for x
   x = 36,802,149.53/6,969.98
6. Step 6: Final answer
   x = 5,280.09