Finding the Fourth Proportional to 10,139.90, 13,993.67 and 5,663.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,139.90 : 13,993.67 = 5,663.98 : x
2. Step 2: Convert to fraction form
   10,139.90/13,993.67 = 5,663.98/x
3. Step 3: Cross multiply
   10,139.90x = 13,993.67 × 5,663.98
4. Step 4: Simplify right side
   10,139.90x = 79,259,827.91
5. Step 5: Solve for x
   x = 79,259,827.91/10,139.90
6. Step 6: Final answer
   x = 7,816.63