Finding the Fourth Proportional to 10,222.24, 15,329.56 and 3,646.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.24 : 15,329.56 = 3,646.68 : x
2. Step 2: Convert to fraction form
   10,222.24/15,329.56 = 3,646.68/x
3. Step 3: Cross multiply
   10,222.24x = 15,329.56 × 3,646.68
4. Step 4: Simplify right side
   10,222.24x = 55,901,999.86
5. Step 5: Solve for x
   x = 55,901,999.86/10,222.24
6. Step 6: Final answer
   x = 5,468.66