Finding the Fourth Proportional to 10,345.24, 14,276.41 and 5,629.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.24 : 14,276.41 = 5,629.42 : x
2. Step 2: Convert to fraction form
   10,345.24/14,276.41 = 5,629.42/x
3. Step 3: Cross multiply
   10,345.24x = 14,276.41 × 5,629.42
4. Step 4: Simplify right side
   10,345.24x = 80,367,907.98
5. Step 5: Solve for x
   x = 80,367,907.98/10,345.24
6. Step 6: Final answer
   x = 7,768.59