Finding the Fourth Proportional to 8,970.24, 12,380.16 and 5,667.84

Step by Step Solution

1. Step 1: Write the proportion equation
   8,970.24 : 12,380.16 = 5,667.84 : x
2. Step 2: Convert to fraction form
   8,970.24/12,380.16 = 5,667.84/x
3. Step 3: Cross multiply
   8,970.24x = 12,380.16 × 5,667.84
4. Step 4: Simplify right side
   8,970.24x = 70,168,766.05
5. Step 5: Solve for x
   x = 70,168,766.05/8,970.24
6. Step 6: Final answer
   x = 7,822.40