Finding the Fourth Proportional to 10,344.78, 14,275.83 and 5,629.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,344.78 : 14,275.83 = 5,629.06 : x
2. Step 2: Convert to fraction form
   10,344.78/14,275.83 = 5,629.06/x
3. Step 3: Cross multiply
   10,344.78x = 14,275.83 × 5,629.06
4. Step 4: Simplify right side
   10,344.78x = 80,359,503.62
5. Step 5: Solve for x
   x = 80,359,503.62/10,344.78
6. Step 6: Final answer
   x = 7,768.12