Finding the Fourth Proportional to 10,118.05, 13,962.97 and 5,642.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.05 : 13,962.97 = 5,642.09 : x
2. Step 2: Convert to fraction form
   10,118.05/13,962.97 = 5,642.09/x
3. Step 3: Cross multiply
   10,118.05x = 13,962.97 × 5,642.09
4. Step 4: Simplify right side
   10,118.05x = 78,780,333.41
5. Step 5: Solve for x
   x = 78,780,333.41/10,118.05
6. Step 6: Final answer
   x = 7,786.12