Finding the Fourth Proportional to 14,146.19, 19,521.67 and 7,685.78

Step by Step Solution

1. Step 1: Write the proportion equation
   14,146.19 : 19,521.67 = 7,685.78 : x
2. Step 2: Convert to fraction form
   14,146.19/19,521.67 = 7,685.78/x
3. Step 3: Cross multiply
   14,146.19x = 19,521.67 × 7,685.78
4. Step 4: Simplify right side
   14,146.19x = 150,039,144.03
5. Step 5: Solve for x
   x = 150,039,144.03/14,146.19
6. Step 6: Final answer
   x = 10,606.33