Finding the Fourth Proportional to 12,778.46, 17,636.72 and 7,189.46

Step by Step Solution

1. Step 1: Write the proportion equation
   12,778.46 : 17,636.72 = 7,189.46 : x
2. Step 2: Convert to fraction form
   12,778.46/17,636.72 = 7,189.46/x
3. Step 3: Cross multiply
   12,778.46x = 17,636.72 × 7,189.46
4. Step 4: Simplify right side
   12,778.46x = 126,798,368.84
5. Step 5: Solve for x
   x = 126,798,368.84/12,778.46
6. Step 6: Final answer
   x = 9,922.82