Finding the Fourth Proportional to 10,107.05, 13,945.87 and 5,630.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,107.05 : 13,945.87 = 5,630.69 : x
2. Step 2: Convert to fraction form
   10,107.05/13,945.87 = 5,630.69/x
3. Step 3: Cross multiply
   10,107.05x = 13,945.87 × 5,630.69
4. Step 4: Simplify right side
   10,107.05x = 78,524,870.75
5. Step 5: Solve for x
   x = 78,524,870.75/10,107.05
6. Step 6: Final answer
   x = 7,769.32