Finding the Fourth Proportional to 10,140.09, 13,993.87 and 5,663.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140.09 : 13,993.87 = 5,663.94 : x
2. Step 2: Convert to fraction form
   10,140.09/13,993.87 = 5,663.94/x
3. Step 3: Cross multiply
   10,140.09x = 13,993.87 × 5,663.94
4. Step 4: Simplify right side
   10,140.09x = 79,260,440.05
5. Step 5: Solve for x
   x = 79,260,440.05/10,140.09
6. Step 6: Final answer
   x = 7,816.54