Finding the Fourth Proportional to 10,139.06, 13,991.87 and 5,662.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,139.06 : 13,991.87 = 5,662.82 : x
2. Step 2: Convert to fraction form
   10,139.06/13,991.87 = 5,662.82/x
3. Step 3: Cross multiply
   10,139.06x = 13,991.87 × 5,662.82
4. Step 4: Simplify right side
   10,139.06x = 79,233,396.09
5. Step 5: Solve for x
   x = 79,233,396.09/10,139.06
6. Step 6: Final answer
   x = 7,814.67