Finding the Fourth Proportional to 10,114.85, 13,958.54 and 5,638.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.85 : 13,958.54 = 5,638.68 : x
2. Step 2: Convert to fraction form
   10,114.85/13,958.54 = 5,638.68/x
3. Step 3: Cross multiply
   10,114.85x = 13,958.54 × 5,638.68
4. Step 4: Simplify right side
   10,114.85x = 78,707,740.33
5. Step 5: Solve for x
   x = 78,707,740.33/10,114.85
6. Step 6: Final answer
   x = 7,781.40