Finding the Fourth Proportional to 9,340.82, 12,890.09 and 5,091.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,340.82 : 12,890.09 = 5,091.96 : x
2. Step 2: Convert to fraction form
   9,340.82/12,890.09 = 5,091.96/x
3. Step 3: Cross multiply
   9,340.82x = 12,890.09 × 5,091.96
4. Step 4: Simplify right side
   9,340.82x = 65,635,855.10
5. Step 5: Solve for x
   x = 65,635,855.10/9,340.82
6. Step 6: Final answer
   x = 7,026.78