Finding the Fourth Proportional to 10,118.28, 13,962.87 and 5,642.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.28 : 13,962.87 = 5,642.22 : x
2. Step 2: Convert to fraction form
   10,118.28/13,962.87 = 5,642.22/x
3. Step 3: Cross multiply
   10,118.28x = 13,962.87 × 5,642.22
4. Step 4: Simplify right side
   10,118.28x = 78,781,584.37
5. Step 5: Solve for x
   x = 78,781,584.37/10,118.28
6. Step 6: Final answer
   x = 7,786.06