Finding the Fourth Proportional to 10,138.50, 13,990.81 and 5,662.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138.50 : 13,990.81 = 5,662.24 : x
2. Step 2: Convert to fraction form
   10,138.50/13,990.81 = 5,662.24/x
3. Step 3: Cross multiply
   10,138.50x = 13,990.81 × 5,662.24
4. Step 4: Simplify right side
   10,138.50x = 79,219,324.01
5. Step 5: Solve for x
   x = 79,219,324.01/10,138.50
6. Step 6: Final answer
   x = 7,813.71