Finding the Fourth Proportional to 10,345.69, 14,277.41 and 5,630.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.69 : 14,277.41 = 5,630.14 : x
2. Step 2: Convert to fraction form
   10,345.69/14,277.41 = 5,630.14/x
3. Step 3: Cross multiply
   10,345.69x = 14,277.41 × 5,630.14
4. Step 4: Simplify right side
   10,345.69x = 80,383,817.14
5. Step 5: Solve for x
   x = 80,383,817.14/10,345.69
6. Step 6: Final answer
   x = 7,769.79