Finding the Fourth Proportional to 10,118.80, 13,963.88 and 5,642.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.80 : 13,963.88 = 5,642.61 : x
2. Step 2: Convert to fraction form
   10,118.80/13,963.88 = 5,642.61/x
3. Step 3: Cross multiply
   10,118.80x = 13,963.88 × 5,642.61
4. Step 4: Simplify right side
   10,118.80x = 78,792,690.67
5. Step 5: Solve for x
   x = 78,792,690.67/10,118.80
6. Step 6: Final answer
   x = 7,786.76