Finding the Fourth Proportional to 12,853.94, 17,738.32 and 7,188.62

Step by Step Solution

1. Step 1: Write the proportion equation
   12,853.94 : 17,738.32 = 7,188.62 : x
2. Step 2: Convert to fraction form
   12,853.94/17,738.32 = 7,188.62/x
3. Step 3: Cross multiply
   12,853.94x = 17,738.32 × 7,188.62
4. Step 4: Simplify right side
   12,853.94x = 127,514,078.18
5. Step 5: Solve for x
   x = 127,514,078.18/12,853.94
6. Step 6: Final answer
   x = 9,920.23