Finding the Fourth Proportional to 9,410.82, 12,986.96 and 5,219.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,410.82 : 12,986.96 = 5,219.06 : x
2. Step 2: Convert to fraction form
   9,410.82/12,986.96 = 5,219.06/x
3. Step 3: Cross multiply
   9,410.82x = 12,986.96 × 5,219.06
4. Step 4: Simplify right side
   9,410.82x = 67,779,723.46
5. Step 5: Solve for x
   x = 67,779,723.46/9,410.82
6. Step 6: Final answer
   x = 7,202.32