Finding the Fourth Proportional to 10,684.20, 14,738.82 and 7,147.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684.20 : 14,738.82 = 7,147.56 : x
2. Step 2: Convert to fraction form
   10,684.20/14,738.82 = 7,147.56/x
3. Step 3: Cross multiply
   10,684.20x = 14,738.82 × 7,147.56
4. Step 4: Simplify right side
   10,684.20x = 105,346,600.28
5. Step 5: Solve for x
   x = 105,346,600.28/10,684.20
6. Step 6: Final answer
   x = 9,860.04