Finding the Fourth Proportional to 6,864.56, 10,299.91 and 3,164.81

Step by Step Solution

1. Step 1: Write the proportion equation
   6,864.56 : 10,299.91 = 3,164.81 : x
2. Step 2: Convert to fraction form
   6,864.56/10,299.91 = 3,164.81/x
3. Step 3: Cross multiply
   6,864.56x = 10,299.91 × 3,164.81
4. Step 4: Simplify right side
   6,864.56x = 32,597,204.69
5. Step 5: Solve for x
   x = 32,597,204.69/6,864.56
6. Step 6: Final answer
   x = 4,748.62