Finding the Fourth Proportional to 9,382, 12,946.04 and 5,404.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,382 : 12,946.04 = 5,404.41 : x
2. Step 2: Convert to fraction form
   9,382/12,946.04 = 5,404.41/x
3. Step 3: Cross multiply
   9,382x = 12,946.04 × 5,404.41
4. Step 4: Simplify right side
   9,382x = 69,965,616.28
5. Step 5: Solve for x
   x = 69,965,616.28/9,382
6. Step 6: Final answer
   x = 7,457.43