Finding the Fourth Proportional to 9,406.22, 12,980.60 and 5,214.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.22 : 12,980.60 = 5,214.47 : x
2. Step 2: Convert to fraction form
   9,406.22/12,980.60 = 5,214.47/x
3. Step 3: Cross multiply
   9,406.22x = 12,980.60 × 5,214.47
4. Step 4: Simplify right side
   9,406.22x = 67,686,858.31
5. Step 5: Solve for x
   x = 67,686,858.31/9,406.22
6. Step 6: Final answer
   x = 7,195.97