Finding the Fourth Proportional to 6,628.56, 9,146.88 and 3,834.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,628.56 : 9,146.88 = 3,834.24 : x
2. Step 2: Convert to fraction form
   6,628.56/9,146.88 = 3,834.24/x
3. Step 3: Cross multiply
   6,628.56x = 9,146.88 × 3,834.24
4. Step 4: Simplify right side
   6,628.56x = 35,071,333.17
5. Step 5: Solve for x
   x = 35,071,333.17/6,628.56
6. Step 6: Final answer
   x = 5,290.94