Finding the Fourth Proportional to 6,837.89, 9,436.50 and 3,853.98

Step by Step Solution

1. Step 1: Write the proportion equation
   6,837.89 : 9,436.50 = 3,853.98 : x
2. Step 2: Convert to fraction form
   6,837.89/9,436.50 = 3,853.98/x
3. Step 3: Cross multiply
   6,837.89x = 9,436.50 × 3,853.98
4. Step 4: Simplify right side
   6,837.89x = 36,368,082.27
5. Step 5: Solve for x
   x = 36,368,082.27/6,837.89
6. Step 6: Final answer
   x = 5,318.62