Finding the Fourth Proportional to 10,140.08, 13,993.16 and 5,663.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140.08 : 13,993.16 = 5,663.89 : x
2. Step 2: Convert to fraction form
   10,140.08/13,993.16 = 5,663.89/x
3. Step 3: Cross multiply
   10,140.08x = 13,993.16 × 5,663.89
4. Step 4: Simplify right side
   10,140.08x = 79,255,655.69
5. Step 5: Solve for x
   x = 79,255,655.69/10,140.08
6. Step 6: Final answer
   x = 7,816.08