Finding the Fourth Proportional to 10,114.67, 13,958.30 and 5,638.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.67 : 13,958.30 = 5,638.70 : x
2. Step 2: Convert to fraction form
   10,114.67/13,958.30 = 5,638.70/x
3. Step 3: Cross multiply
   10,114.67x = 13,958.30 × 5,638.70
4. Step 4: Simplify right side
   10,114.67x = 78,706,568.23
5. Step 5: Solve for x
   x = 78,706,568.23/10,114.67
6. Step 6: Final answer
   x = 7,781.43