Finding the Fourth Proportional to 10,016.50, 13,823.41 and 5,600.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.50 : 13,823.41 = 5,600.50 : x
2. Step 2: Convert to fraction form
   10,016.50/13,823.41 = 5,600.50/x
3. Step 3: Cross multiply
   10,016.50x = 13,823.41 × 5,600.50
4. Step 4: Simplify right side
   10,016.50x = 77,418,007.71
5. Step 5: Solve for x
   x = 77,418,007.71/10,016.50
6. Step 6: Final answer
   x = 7,729.05