Finding the Fourth Proportional to 10,345.30, 14,276.46 and 5,629.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.30 : 14,276.46 = 5,629.66 : x
2. Step 2: Convert to fraction form
   10,345.30/14,276.46 = 5,629.66/x
3. Step 3: Cross multiply
   10,345.30x = 14,276.46 × 5,629.66
4. Step 4: Simplify right side
   10,345.30x = 80,371,615.80
5. Step 5: Solve for x
   x = 80,371,615.80/10,345.30
6. Step 6: Final answer
   x = 7,768.90