Finding the Fourth Proportional to 10,683.14, 14,742.25 and 5,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,683.14 : 14,742.25 = 5,966.50 : x
2. Step 2: Convert to fraction form
   10,683.14/14,742.25 = 5,966.50/x
3. Step 3: Cross multiply
   10,683.14x = 14,742.25 × 5,966.50
4. Step 4: Simplify right side
   10,683.14x = 87,959,634.63
5. Step 5: Solve for x
   x = 87,959,634.63/10,683.14
6. Step 6: Final answer
   x = 8,233.50