Finding the Fourth Proportional to 9,116.27, 13,676.71 and 2,542.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116.27 : 13,676.71 = 2,542.46 : x
2. Step 2: Convert to fraction form
   9,116.27/13,676.71 = 2,542.46/x
3. Step 3: Cross multiply
   9,116.27x = 13,676.71 × 2,542.46
4. Step 4: Simplify right side
   9,116.27x = 34,772,441.50
5. Step 5: Solve for x
   x = 34,772,441.50/9,116.27
6. Step 6: Final answer
   x = 3,814.33