Finding the Fourth Proportional to 6,646.56, 9,171.72 and 3,852.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,646.56 : 9,171.72 = 3,852.24 : x
2. Step 2: Convert to fraction form
   6,646.56/9,171.72 = 3,852.24/x
3. Step 3: Cross multiply
   6,646.56x = 9,171.72 × 3,852.24
4. Step 4: Simplify right side
   6,646.56x = 35,331,666.65
5. Step 5: Solve for x
   x = 35,331,666.65/6,646.56
6. Step 6: Final answer
   x = 5,315.78