Finding the Fourth Proportional to 10,106.22, 13,946.24 and 5,629.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.22 : 13,946.24 = 5,629.82 : x
2. Step 2: Convert to fraction form
   10,106.22/13,946.24 = 5,629.82/x
3. Step 3: Cross multiply
   10,106.22x = 13,946.24 × 5,629.82
4. Step 4: Simplify right side
   10,106.22x = 78,514,820.88
5. Step 5: Solve for x
   x = 78,514,820.88/10,106.22
6. Step 6: Final answer
   x = 7,768.96