Finding the Fourth Proportional to 10,139.48, 13,993.21 and 5,663.99

Step by Step Solution

1. Step 1: Write the proportion equation
   10,139.48 : 13,993.21 = 5,663.99 : x
2. Step 2: Convert to fraction form
   10,139.48/13,993.21 = 5,663.99/x
3. Step 3: Cross multiply
   10,139.48x = 13,993.21 × 5,663.99
4. Step 4: Simplify right side
   10,139.48x = 79,257,388.52
5. Step 5: Solve for x
   x = 79,257,388.52/10,139.48
6. Step 6: Final answer
   x = 7,816.71