Finding the Fourth Proportional to 9,383.56, 12,946.02 and 5,843.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,383.56 : 12,946.02 = 5,843.84 : x
2. Step 2: Convert to fraction form
   9,383.56/12,946.02 = 5,843.84/x
3. Step 3: Cross multiply
   9,383.56x = 12,946.02 × 5,843.84
4. Step 4: Simplify right side
   9,383.56x = 75,654,469.52
5. Step 5: Solve for x
   x = 75,654,469.52/9,383.56
6. Step 6: Final answer
   x = 8,062.45