Finding the Fourth Proportional to 5,105.82, 7,659.15 and 2,184.15

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.82 : 7,659.15 = 2,184.15 : x
2. Step 2: Convert to fraction form
   5,105.82/7,659.15 = 2,184.15/x
3. Step 3: Cross multiply
   5,105.82x = 7,659.15 × 2,184.15
4. Step 4: Simplify right side
   5,105.82x = 16,728,732.47
5. Step 5: Solve for x
   x = 16,728,732.47/5,105.82
6. Step 6: Final answer
   x = 3,276.40