Finding the Fourth Proportional to 9,407.81, 12,982.82 and 5,216.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,407.81 : 12,982.82 = 5,216.06 : x
2. Step 2: Convert to fraction form
   9,407.81/12,982.82 = 5,216.06/x
3. Step 3: Cross multiply
   9,407.81x = 12,982.82 × 5,216.06
4. Step 4: Simplify right side
   9,407.81x = 67,719,174.47
5. Step 5: Solve for x
   x = 67,719,174.47/9,407.81
6. Step 6: Final answer
   x = 7,198.18