Finding the Fourth Proportional to 9,378.77, 12,946.69 and 5,843.73

Step by Step Solution

1. Step 1: Write the proportion equation
   9,378.77 : 12,946.69 = 5,843.73 : x
2. Step 2: Convert to fraction form
   9,378.77/12,946.69 = 5,843.73/x
3. Step 3: Cross multiply
   9,378.77x = 12,946.69 × 5,843.73
4. Step 4: Simplify right side
   9,378.77x = 75,656,968.06
5. Step 5: Solve for x
   x = 75,656,968.06/9,378.77
6. Step 6: Final answer
   x = 8,066.83