Finding the Fourth Proportional to 9,406.10, 12,980.42 and 5,214.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.10 : 12,980.42 = 5,214.35 : x
2. Step 2: Convert to fraction form
   9,406.10/12,980.42 = 5,214.35/x
3. Step 3: Cross multiply
   9,406.10x = 12,980.42 × 5,214.35
4. Step 4: Simplify right side
   9,406.10x = 67,684,453.03
5. Step 5: Solve for x
   x = 67,684,453.03/9,406.10
6. Step 6: Final answer
   x = 7,195.80