Finding the Fourth Proportional to 10,222.96, 15,337.68 and 3,649

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.96 : 15,337.68 = 3,649 : x
2. Step 2: Convert to fraction form
   10,222.96/15,337.68 = 3,649/x
3. Step 3: Cross multiply
   10,222.96x = 15,337.68 × 3,649
4. Step 4: Simplify right side
   10,222.96x = 55,967,194.32
5. Step 5: Solve for x
   x = 55,967,194.32/10,222.96
6. Step 6: Final answer
   x = 5,474.66