Finding the Fourth Proportional to 5,321.78, 7,336.50 and 3,829.22

Step by Step Solution

1. Step 1: Write the proportion equation
   5,321.78 : 7,336.50 = 3,829.22 : x
2. Step 2: Convert to fraction form
   5,321.78/7,336.50 = 3,829.22/x
3. Step 3: Cross multiply
   5,321.78x = 7,336.50 × 3,829.22
4. Step 4: Simplify right side
   5,321.78x = 28,093,072.53
5. Step 5: Solve for x
   x = 28,093,072.53/5,321.78
6. Step 6: Final answer
   x = 5,278.89