Finding the Fourth Proportional to 9,406.17, 12,980.48 and 5,214.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.17 : 12,980.48 = 5,214.42 : x
2. Step 2: Convert to fraction form
   9,406.17/12,980.48 = 5,214.42/x
3. Step 3: Cross multiply
   9,406.17x = 12,980.48 × 5,214.42
4. Step 4: Simplify right side
   9,406.17x = 67,685,648.45
5. Step 5: Solve for x
   x = 67,685,648.45/9,406.17
6. Step 6: Final answer
   x = 7,195.88