Finding the Fourth Proportional to 7,009.82, 9,674.24 and 5,238.35

Step by Step Solution

1. Step 1: Write the proportion equation
   7,009.82 : 9,674.24 = 5,238.35 : x
2. Step 2: Convert to fraction form
   7,009.82/9,674.24 = 5,238.35/x
3. Step 3: Cross multiply
   7,009.82x = 9,674.24 × 5,238.35
4. Step 4: Simplify right side
   7,009.82x = 50,677,055.10
5. Step 5: Solve for x
   x = 50,677,055.10/7,009.82
6. Step 6: Final answer
   x = 7,229.44