Finding the Fourth Proportional to 6,626.56, 9,144.10 and 3,832.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,626.56 : 9,144.10 = 3,832.24 : x
2. Step 2: Convert to fraction form
   6,626.56/9,144.10 = 3,832.24/x
3. Step 3: Cross multiply
   6,626.56x = 9,144.10 × 3,832.24
4. Step 4: Simplify right side
   6,626.56x = 35,042,385.78
5. Step 5: Solve for x
   x = 35,042,385.78/6,626.56
6. Step 6: Final answer
   x = 5,288.17