Finding the Fourth Proportional to 10,639.46, 14,682.12 and 5,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,639.46 : 14,682.12 = 5,923.50 : x
2. Step 2: Convert to fraction form
   10,639.46/14,682.12 = 5,923.50/x
3. Step 3: Cross multiply
   10,639.46x = 14,682.12 × 5,923.50
4. Step 4: Simplify right side
   10,639.46x = 86,969,537.82
5. Step 5: Solve for x
   x = 86,969,537.82/10,639.46
6. Step 6: Final answer
   x = 8,174.24