Finding the Fourth Proportional to 10,638.92, 14,681.46 and 5,923.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638.92 : 14,681.46 = 5,923.10 : x
2. Step 2: Convert to fraction form
   10,638.92/14,681.46 = 5,923.10/x
3. Step 3: Cross multiply
   10,638.92x = 14,681.46 × 5,923.10
4. Step 4: Simplify right side
   10,638.92x = 86,959,755.73
5. Step 5: Solve for x
   x = 86,959,755.73/10,638.92
6. Step 6: Final answer
   x = 8,173.74