Finding the Fourth Proportional to 10,144.29, 14,017.01 and 7,806.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,144.29 : 14,017.01 = 7,806.63 : x
2. Step 2: Convert to fraction form
   10,144.29/14,017.01 = 7,806.63/x
3. Step 3: Cross multiply
   10,144.29x = 14,017.01 × 7,806.63
4. Step 4: Simplify right side
   10,144.29x = 109,425,571.74
5. Step 5: Solve for x
   x = 109,425,571.74/10,144.29
6. Step 6: Final answer
   x = 10,786.91