Finding the Fourth Proportional to 10,115.03, 13,958.68 and 5,638.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,115.03 : 13,958.68 = 5,638.82 : x
2. Step 2: Convert to fraction form
   10,115.03/13,958.68 = 5,638.82/x
3. Step 3: Cross multiply
   10,115.03x = 13,958.68 × 5,638.82
4. Step 4: Simplify right side
   10,115.03x = 78,710,410.64
5. Step 5: Solve for x
   x = 78,710,410.64/10,115.03
6. Step 6: Final answer
   x = 7,781.53