Finding the Fourth Proportional to 10,105.56, 13,946.31 and 5,629.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.56 : 13,946.31 = 5,629.32 : x
2. Step 2: Convert to fraction form
   10,105.56/13,946.31 = 5,629.32/x
3. Step 3: Cross multiply
   10,105.56x = 13,946.31 × 5,629.32
4. Step 4: Simplify right side
   10,105.56x = 78,508,241.81
5. Step 5: Solve for x
   x = 78,508,241.81/10,105.56
6. Step 6: Final answer
   x = 7,768.82