Finding the Fourth Proportional to 10,118.56, 13,963.32 and 5,642.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.56 : 13,963.32 = 5,642.20 : x
2. Step 2: Convert to fraction form
   10,118.56/13,963.32 = 5,642.20/x
3. Step 3: Cross multiply
   10,118.56x = 13,963.32 × 5,642.20
4. Step 4: Simplify right side
   10,118.56x = 78,783,844.10
5. Step 5: Solve for x
   x = 78,783,844.10/10,118.56
6. Step 6: Final answer
   x = 7,786.07