Finding the Fourth Proportional to 9,400.82, 12,969.70 and 5,624.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,400.82 : 12,969.70 = 5,624.09 : x
2. Step 2: Convert to fraction form
   9,400.82/12,969.70 = 5,624.09/x
3. Step 3: Cross multiply
   9,400.82x = 12,969.70 × 5,624.09
4. Step 4: Simplify right side
   9,400.82x = 72,942,778.44
5. Step 5: Solve for x
   x = 72,942,778.44/9,400.82
6. Step 6: Final answer
   x = 7,759.19