Finding the Fourth Proportional to 5,222.10, 7,209.78 and 3,628.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,222.10 : 7,209.78 = 3,628.24 : x
2. Step 2: Convert to fraction form
   5,222.10/7,209.78 = 3,628.24/x
3. Step 3: Cross multiply
   5,222.10x = 7,209.78 × 3,628.24
4. Step 4: Simplify right side
   5,222.10x = 26,158,851.73
5. Step 5: Solve for x
   x = 26,158,851.73/5,222.10
6. Step 6: Final answer
   x = 5,009.26