Finding the Fourth Proportional to 7,009.77, 9,674.16 and 5,238.30

Step by Step Solution

1. Step 1: Write the proportion equation
   7,009.77 : 9,674.16 = 5,238.30 : x
2. Step 2: Convert to fraction form
   7,009.77/9,674.16 = 5,238.30/x
3. Step 3: Cross multiply
   7,009.77x = 9,674.16 × 5,238.30
4. Step 4: Simplify right side
   7,009.77x = 50,676,152.33
5. Step 5: Solve for x
   x = 50,676,152.33/7,009.77
6. Step 6: Final answer
   x = 7,229.36