Finding the Fourth Proportional to 10,105.99, 13,946.85 and 5,629.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.99 : 13,946.85 = 5,629.59 : x
2. Step 2: Convert to fraction form
   10,105.99/13,946.85 = 5,629.59/x
3. Step 3: Cross multiply
   10,105.99x = 13,946.85 × 5,629.59
4. Step 4: Simplify right side
   10,105.99x = 78,515,047.29
5. Step 5: Solve for x
   x = 78,515,047.29/10,105.99
6. Step 6: Final answer
   x = 7,769.16