Finding the Fourth Proportional to 10,661.93, 14,716.69 and 6,186.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,661.93 : 14,716.69 = 6,186.78 : x
2. Step 2: Convert to fraction form
   10,661.93/14,716.69 = 6,186.78/x
3. Step 3: Cross multiply
   10,661.93x = 14,716.69 × 6,186.78
4. Step 4: Simplify right side
   10,661.93x = 91,048,907.89
5. Step 5: Solve for x
   x = 91,048,907.89/10,661.93
6. Step 6: Final answer
   x = 8,539.63