Finding the Fourth Proportional to 9,160.82, 13,741.76 and 2,586.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,160.82 : 13,741.76 = 2,586.46 : x
2. Step 2: Convert to fraction form
   9,160.82/13,741.76 = 2,586.46/x
3. Step 3: Cross multiply
   9,160.82x = 13,741.76 × 2,586.46
4. Step 4: Simplify right side
   9,160.82x = 35,542,443.86
5. Step 5: Solve for x
   x = 35,542,443.86/9,160.82
6. Step 6: Final answer
   x = 3,879.83