Finding the Fourth Proportional to 10,286.89, 14,188.59 and 7,101.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,286.89 : 14,188.59 = 7,101.40 : x
2. Step 2: Convert to fraction form
   10,286.89/14,188.59 = 7,101.40/x
3. Step 3: Cross multiply
   10,286.89x = 14,188.59 × 7,101.40
4. Step 4: Simplify right side
   10,286.89x = 100,758,853.03
5. Step 5: Solve for x
   x = 100,758,853.03/10,286.89
6. Step 6: Final answer
   x = 9,794.88