Finding the Fourth Proportional to 6,870.38, 10,297.61 and 3,164.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,870.38 : 10,297.61 = 3,164.83 : x
2. Step 2: Convert to fraction form
   6,870.38/10,297.61 = 3,164.83/x
3. Step 3: Cross multiply
   6,870.38x = 10,297.61 × 3,164.83
4. Step 4: Simplify right side
   6,870.38x = 32,590,163.71
5. Step 5: Solve for x
   x = 32,590,163.71/6,870.38
6. Step 6: Final answer
   x = 4,743.57