Finding the Fourth Proportional to 10,118.67, 13,963.82 and 5,642.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.67 : 13,963.82 = 5,642.70 : x
2. Step 2: Convert to fraction form
   10,118.67/13,963.82 = 5,642.70/x
3. Step 3: Cross multiply
   10,118.67x = 13,963.82 × 5,642.70
4. Step 4: Simplify right side
   10,118.67x = 78,793,647.11
5. Step 5: Solve for x
   x = 78,793,647.11/10,118.67
6. Step 6: Final answer
   x = 7,786.96