Finding the Fourth Proportional to 10,345.40, 14,275.92 and 5,629.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.40 : 14,275.92 = 5,629.58 : x
2. Step 2: Convert to fraction form
   10,345.40/14,275.92 = 5,629.58/x
3. Step 3: Cross multiply
   10,345.40x = 14,275.92 × 5,629.58
4. Step 4: Simplify right side
   10,345.40x = 80,367,433.71
5. Step 5: Solve for x
   x = 80,367,433.71/10,345.40
6. Step 6: Final answer
   x = 7,768.42