Finding the Fourth Proportional to 9,406.32, 12,980.64 and 5,214.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.32 : 12,980.64 = 5,214.48 : x
2. Step 2: Convert to fraction form
   9,406.32/12,980.64 = 5,214.48/x
3. Step 3: Cross multiply
   9,406.32x = 12,980.64 × 5,214.48
4. Step 4: Simplify right side
   9,406.32x = 67,687,287.67
5. Step 5: Solve for x
   x = 67,687,287.67/9,406.32
6. Step 6: Final answer
   x = 7,195.94