Finding the Fourth Proportional to 10,222.56, 15,336.63 and 3,649.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.56 : 15,336.63 = 3,649.41 : x
2. Step 2: Convert to fraction form
   10,222.56/15,336.63 = 3,649.41/x
3. Step 3: Cross multiply
   10,222.56x = 15,336.63 × 3,649.41
4. Step 4: Simplify right side
   10,222.56x = 55,969,650.89
5. Step 5: Solve for x
   x = 55,969,650.89/10,222.56
6. Step 6: Final answer
   x = 5,475.11