Finding the Fourth Proportional to 10,114.60, 13,958.62 and 5,638.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.60 : 13,958.62 = 5,638.38 : x
2. Step 2: Convert to fraction form
   10,114.60/13,958.62 = 5,638.38/x
3. Step 3: Cross multiply
   10,114.60x = 13,958.62 × 5,638.38
4. Step 4: Simplify right side
   10,114.60x = 78,704,003.84
5. Step 5: Solve for x
   x = 78,704,003.84/10,114.60
6. Step 6: Final answer
   x = 7,781.23