Finding the Fourth Proportional to 9,318.94, 12,864.42 and 5,784.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,318.94 : 12,864.42 = 5,784.23 : x
2. Step 2: Convert to fraction form
   9,318.94/12,864.42 = 5,784.23/x
3. Step 3: Cross multiply
   9,318.94x = 12,864.42 × 5,784.23
4. Step 4: Simplify right side
   9,318.94x = 74,410,796.26
5. Step 5: Solve for x
   x = 74,410,796.26/9,318.94
6. Step 6: Final answer
   x = 7,984.90