Finding the Fourth Proportional to 10,114.16, 13,958.04 and 5,638.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.16 : 13,958.04 = 5,638.28 : x
2. Step 2: Convert to fraction form
   10,114.16/13,958.04 = 5,638.28/x
3. Step 3: Cross multiply
   10,114.16x = 13,958.04 × 5,638.28
4. Step 4: Simplify right side
   10,114.16x = 78,699,337.77
5. Step 5: Solve for x
   x = 78,699,337.77/10,114.16
6. Step 6: Final answer
   x = 7,781.10