Finding the Fourth Proportional to 10,345.50, 14,276.79 and 5,629.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.50 : 14,276.79 = 5,629.82 : x
2. Step 2: Convert to fraction form
   10,345.50/14,276.79 = 5,629.82/x
3. Step 3: Cross multiply
   10,345.50x = 14,276.79 × 5,629.82
4. Step 4: Simplify right side
   10,345.50x = 80,375,686.49
5. Step 5: Solve for x
   x = 80,375,686.49/10,345.50
6. Step 6: Final answer
   x = 7,769.14