Finding the Fourth Proportional to 10,139.84, 13,992.06 and 5,662.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,139.84 : 13,992.06 = 5,662.97 : x
2. Step 2: Convert to fraction form
   10,139.84/13,992.06 = 5,662.97/x
3. Step 3: Cross multiply
   10,139.84x = 13,992.06 × 5,662.97
4. Step 4: Simplify right side
   10,139.84x = 79,236,546.06
5. Step 5: Solve for x
   x = 79,236,546.06/10,139.84
6. Step 6: Final answer
   x = 7,814.38