Finding the Fourth Proportional to 10,139.88, 13,991.74 and 5,663.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,139.88 : 13,991.74 = 5,663.82 : x
2. Step 2: Convert to fraction form
   10,139.88/13,991.74 = 5,663.82/x
3. Step 3: Cross multiply
   10,139.88x = 13,991.74 × 5,663.82
4. Step 4: Simplify right side
   10,139.88x = 79,246,735.16
5. Step 5: Solve for x
   x = 79,246,735.16/10,139.88
6. Step 6: Final answer
   x = 7,815.35