Finding the Fourth Proportional to 7,846.29, 10,828.10 and 4,309.73

Step by Step Solution

1. Step 1: Write the proportion equation
   7,846.29 : 10,828.10 = 4,309.73 : x
2. Step 2: Convert to fraction form
   7,846.29/10,828.10 = 4,309.73/x
3. Step 3: Cross multiply
   7,846.29x = 10,828.10 × 4,309.73
4. Step 4: Simplify right side
   7,846.29x = 46,666,111.72
5. Step 5: Solve for x
   x = 46,666,111.72/7,846.29
6. Step 6: Final answer
   x = 5,947.54