Finding the Fourth Proportional to 7,846.83, 10,828.71 and 4,309.95

Step by Step Solution

1. Step 1: Write the proportion equation
   7,846.83 : 10,828.71 = 4,309.95 : x
2. Step 2: Convert to fraction form
   7,846.83/10,828.71 = 4,309.95/x
3. Step 3: Cross multiply
   7,846.83x = 10,828.71 × 4,309.95
4. Step 4: Simplify right side
   7,846.83x = 46,671,198.66
5. Step 5: Solve for x
   x = 46,671,198.66/7,846.83
6. Step 6: Final answer
   x = 5,947.78