Finding the Fourth Proportional to 10,113.75, 13,956.06 and 5,636.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,113.75 : 13,956.06 = 5,636.78 : x
2. Step 2: Convert to fraction form
   10,113.75/13,956.06 = 5,636.78/x
3. Step 3: Cross multiply
   10,113.75x = 13,956.06 × 5,636.78
4. Step 4: Simplify right side
   10,113.75x = 78,667,239.89
5. Step 5: Solve for x
   x = 78,667,239.89/10,113.75
6. Step 6: Final answer
   x = 7,778.25