Finding the Fourth Proportional to 9,384, 12,949.98 and 5,192.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384 : 12,949.98 = 5,192.28 : x
2. Step 2: Convert to fraction form
   9,384/12,949.98 = 5,192.28/x
3. Step 3: Cross multiply
   9,384x = 12,949.98 × 5,192.28
4. Step 4: Simplify right side
   9,384x = 67,239,922.15
5. Step 5: Solve for x
   x = 67,239,922.15/9,384
6. Step 6: Final answer
   x = 7,165.38