Finding the Fourth Proportional to 10,106.32, 13,946.37 and 5,629.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.32 : 13,946.37 = 5,629.83 : x
2. Step 2: Convert to fraction form
   10,106.32/13,946.37 = 5,629.83/x
3. Step 3: Cross multiply
   10,106.32x = 13,946.37 × 5,629.83
4. Step 4: Simplify right side
   10,106.32x = 78,515,692.22
5. Step 5: Solve for x
   x = 78,515,692.22/10,106.32
6. Step 6: Final answer
   x = 7,768.97