Finding the Fourth Proportional to 10,114.30, 13,958.21 and 5,638.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.30 : 13,958.21 = 5,638.08 : x
2. Step 2: Convert to fraction form
   10,114.30/13,958.21 = 5,638.08/x
3. Step 3: Cross multiply
   10,114.30x = 13,958.21 × 5,638.08
4. Step 4: Simplify right side
   10,114.30x = 78,697,571.08
5. Step 5: Solve for x
   x = 78,697,571.08/10,114.30
6. Step 6: Final answer
   x = 7,780.82