Finding the Fourth Proportional to 10,345.59, 14,276.97 and 5,629.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,345.59 : 14,276.97 = 5,629.88 : x
2. Step 2: Convert to fraction form
   10,345.59/14,276.97 = 5,629.88/x
3. Step 3: Cross multiply
   10,345.59x = 14,276.97 × 5,629.88
4. Step 4: Simplify right side
   10,345.59x = 80,377,556.48
5. Step 5: Solve for x
   x = 80,377,556.48/10,345.59
6. Step 6: Final answer
   x = 7,769.26