Finding the Fourth Proportional to 12,853.82, 17,736.50 and 7,188.28

Step by Step Solution

1. Step 1: Write the proportion equation
   12,853.82 : 17,736.50 = 7,188.28 : x
2. Step 2: Convert to fraction form
   12,853.82/17,736.50 = 7,188.28/x
3. Step 3: Cross multiply
   12,853.82x = 17,736.50 × 7,188.28
4. Step 4: Simplify right side
   12,853.82x = 127,494,901.85
5. Step 5: Solve for x
   x = 127,494,901.85/12,853.82
6. Step 6: Final answer
   x = 9,918.83