Finding the Fourth Proportional to 10,106.00, 13,946.70 and 5,629.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.00 : 13,946.70 = 5,629.75 : x
2. Step 2: Convert to fraction form
   10,106.00/13,946.70 = 5,629.75/x
3. Step 3: Cross multiply
   10,106.00x = 13,946.70 × 5,629.75
4. Step 4: Simplify right side
   10,106.00x = 78,516,434.33
5. Step 5: Solve for x
   x = 78,516,434.33/10,106.00
6. Step 6: Final answer
   x = 7,769.29