Finding the Fourth Proportional to 7,846.82, 10,828.20 and 4,309.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,846.82 : 10,828.20 = 4,309.34 : x
2. Step 2: Convert to fraction form
   7,846.82/10,828.20 = 4,309.34/x
3. Step 3: Cross multiply
   7,846.82x = 10,828.20 × 4,309.34
4. Step 4: Simplify right side
   7,846.82x = 46,662,422.46
5. Step 5: Solve for x
   x = 46,662,422.46/7,846.82
6. Step 6: Final answer
   x = 5,946.67