Finding the Fourth Proportional to 10,114.39, 13,958.18 and 5,638.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.39 : 13,958.18 = 5,638.03 : x
2. Step 2: Convert to fraction form
   10,114.39/13,958.18 = 5,638.03/x
3. Step 3: Cross multiply
   10,114.39x = 13,958.18 × 5,638.03
4. Step 4: Simplify right side
   10,114.39x = 78,696,637.59
5. Step 5: Solve for x
   x = 78,696,637.59/10,114.39
6. Step 6: Final answer
   x = 7,780.66