Finding the Fourth Proportional to 9,096.89, 13,645.35 and 2,771.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.89 : 13,645.35 = 2,771.82 : x
2. Step 2: Convert to fraction form
   9,096.89/13,645.35 = 2,771.82/x
3. Step 3: Cross multiply
   9,096.89x = 13,645.35 × 2,771.82
4. Step 4: Simplify right side
   9,096.89x = 37,822,454.04
5. Step 5: Solve for x
   x = 37,822,454.04/9,096.89
6. Step 6: Final answer
   x = 4,157.74