Finding the Fourth Proportional to 10,682.16, 14,741.61 and 5,966.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,682.16 : 14,741.61 = 5,966.45 : x
2. Step 2: Convert to fraction form
   10,682.16/14,741.61 = 5,966.45/x
3. Step 3: Cross multiply
   10,682.16x = 14,741.61 × 5,966.45
4. Step 4: Simplify right side
   10,682.16x = 87,955,078.98
5. Step 5: Solve for x
   x = 87,955,078.98/10,682.16
6. Step 6: Final answer
   x = 8,233.83