Finding the Fourth Proportional to 10,164.64, 13,943.24 and 10,072.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.64 : 13,943.24 = 10,072.48 : x
2. Step 2: Convert to fraction form
   10,164.64/13,943.24 = 10,072.48/x
3. Step 3: Cross multiply
   10,164.64x = 13,943.24 × 10,072.48
4. Step 4: Simplify right side
   10,164.64x = 140,443,006.04
5. Step 5: Solve for x
   x = 140,443,006.04/10,164.64
6. Step 6: Final answer
   x = 13,816.82