Finding the Fourth Proportional to 9,222.84, 12,727.05 and 5,643.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,222.84 : 12,727.05 = 5,643.75 : x
2. Step 2: Convert to fraction form
   9,222.84/12,727.05 = 5,643.75/x
3. Step 3: Cross multiply
   9,222.84x = 12,727.05 × 5,643.75
4. Step 4: Simplify right side
   9,222.84x = 71,828,288.44
5. Step 5: Solve for x
   x = 71,828,288.44/9,222.84
6. Step 6: Final answer
   x = 7,788.09