Finding the Fourth Proportional to 9,404.92, 12,978.76 and 5,213.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,404.92 : 12,978.76 = 5,213.16 : x
2. Step 2: Convert to fraction form
   9,404.92/12,978.76 = 5,213.16/x
3. Step 3: Cross multiply
   9,404.92x = 12,978.76 × 5,213.16
4. Step 4: Simplify right side
   9,404.92x = 67,660,352.48
5. Step 5: Solve for x
   x = 67,660,352.48/9,404.92
6. Step 6: Final answer
   x = 7,194.14