Finding the Fourth Proportional to 10,106.05, 13,946.15 and 5,629.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.05 : 13,946.15 = 5,629.79 : x
2. Step 2: Convert to fraction form
   10,106.05/13,946.15 = 5,629.79/x
3. Step 3: Cross multiply
   10,106.05x = 13,946.15 × 5,629.79
4. Step 4: Simplify right side
   10,106.05x = 78,513,867.66
5. Step 5: Solve for x
   x = 78,513,867.66/10,106.05
6. Step 6: Final answer
   x = 7,769.00