Finding the Fourth Proportional to 9,385.95, 14,074.38 and 3,837.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.95 : 14,074.38 = 3,837.09 : x
2. Step 2: Convert to fraction form
   9,385.95/14,074.38 = 3,837.09/x
3. Step 3: Cross multiply
   9,385.95x = 14,074.38 × 3,837.09
4. Step 4: Simplify right side
   9,385.95x = 54,004,662.75
5. Step 5: Solve for x
   x = 54,004,662.75/9,385.95
6. Step 6: Final answer
   x = 5,753.78