Finding the Fourth Proportional to 9,119.34, 13,677.82 and 3,856.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,119.34 : 13,677.82 = 3,856.43 : x
2. Step 2: Convert to fraction form
   9,119.34/13,677.82 = 3,856.43/x
3. Step 3: Cross multiply
   9,119.34x = 13,677.82 × 3,856.43
4. Step 4: Simplify right side
   9,119.34x = 52,747,579.94
5. Step 5: Solve for x
   x = 52,747,579.94/9,119.34
6. Step 6: Final answer
   x = 5,784.14