Finding the Fourth Proportional to 10,112.80, 13,956.10 and 5,636.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,112.80 : 13,956.10 = 5,636.56 : x
2. Step 2: Convert to fraction form
   10,112.80/13,956.10 = 5,636.56/x
3. Step 3: Cross multiply
   10,112.80x = 13,956.10 × 5,636.56
4. Step 4: Simplify right side
   10,112.80x = 78,664,395.02
5. Step 5: Solve for x
   x = 78,664,395.02/10,112.80
6. Step 6: Final answer
   x = 7,778.70