Finding the Fourth Proportional to 9,096.09, 12,555.92 and 5,741.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.09 : 12,555.92 = 5,741.09 : x
2. Step 2: Convert to fraction form
   9,096.09/12,555.92 = 5,741.09/x
3. Step 3: Cross multiply
   9,096.09x = 12,555.92 × 5,741.09
4. Step 4: Simplify right side
   9,096.09x = 72,084,712.50
5. Step 5: Solve for x
   x = 72,084,712.50/9,096.09
6. Step 6: Final answer
   x = 7,924.80