Finding the Fourth Proportional to 10,114.38, 13,958.40 and 5,638.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.38 : 13,958.40 = 5,638.02 : x
2. Step 2: Convert to fraction form
   10,114.38/13,958.40 = 5,638.02/x
3. Step 3: Cross multiply
   10,114.38x = 13,958.40 × 5,638.02
4. Step 4: Simplify right side
   10,114.38x = 78,697,738.37
5. Step 5: Solve for x
   x = 78,697,738.37/10,114.38
6. Step 6: Final answer
   x = 7,780.78