Finding the Fourth Proportional to 9,084.92, 12,537.54 and 5,105.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,084.92 : 12,537.54 = 5,105.96 : x
2. Step 2: Convert to fraction form
   9,084.92/12,537.54 = 5,105.96/x
3. Step 3: Cross multiply
   9,084.92x = 12,537.54 × 5,105.96
4. Step 4: Simplify right side
   9,084.92x = 64,016,177.74
5. Step 5: Solve for x
   x = 64,016,177.74/9,084.92
6. Step 6: Final answer
   x = 7,046.42