Finding the Fourth Proportional to 7,005.84, 9,667.92 and 3,819.16

Step by Step Solution

1. Step 1: Write the proportion equation
   7,005.84 : 9,667.92 = 3,819.16 : x
2. Step 2: Convert to fraction form
   7,005.84/9,667.92 = 3,819.16/x
3. Step 3: Cross multiply
   7,005.84x = 9,667.92 × 3,819.16
4. Step 4: Simplify right side
   7,005.84x = 36,923,333.35
5. Step 5: Solve for x
   x = 36,923,333.35/7,005.84
6. Step 6: Final answer
   x = 5,270.36