Finding the Fourth Proportional to 6,837.89, 9,436.22 and 3,854.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,837.89 : 9,436.22 = 3,854.69 : x
2. Step 2: Convert to fraction form
   6,837.89/9,436.22 = 3,854.69/x
3. Step 3: Cross multiply
   6,837.89x = 9,436.22 × 3,854.69
4. Step 4: Simplify right side
   6,837.89x = 36,373,655.69
5. Step 5: Solve for x
   x = 36,373,655.69/6,837.89
6. Step 6: Final answer
   x = 5,319.43