Finding the Fourth Proportional to 9,404.16, 12,978 and 5,676

Step by Step Solution

1. Step 1: Write the proportion equation
   9,404.16 : 12,978 = 5,676 : x
2. Step 2: Convert to fraction form
   9,404.16/12,978 = 5,676/x
3. Step 3: Cross multiply
   9,404.16x = 12,978 × 5,676
4. Step 4: Simplify right side
   9,404.16x = 73,663,128
5. Step 5: Solve for x
   x = 73,663,128/9,404.16
6. Step 6: Final answer
   x = 7,833.04