Finding the Fourth Proportional to 10,118.62, 13,963.78 and 5,642.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.62 : 13,963.78 = 5,642.66 : x
2. Step 2: Convert to fraction form
   10,118.62/13,963.78 = 5,642.66/x
3. Step 3: Cross multiply
   10,118.62x = 13,963.78 × 5,642.66
4. Step 4: Simplify right side
   10,118.62x = 78,792,852.10
5. Step 5: Solve for x
   x = 78,792,852.10/10,118.62
6. Step 6: Final answer
   x = 7,786.92