Finding the Fourth Proportional to 9,792.14, 13,513.39 and 5,813.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,792.14 : 13,513.39 = 5,813.27 : x
2. Step 2: Convert to fraction form
   9,792.14/13,513.39 = 5,813.27/x
3. Step 3: Cross multiply
   9,792.14x = 13,513.39 × 5,813.27
4. Step 4: Simplify right side
   9,792.14x = 78,556,984.69
5. Step 5: Solve for x
   x = 78,556,984.69/9,792.14
6. Step 6: Final answer
   x = 8,022.45