Finding the Fourth Proportional to 5,949.88, 8,214.78 and 5,578.18

Step by Step Solution

1. Step 1: Write the proportion equation
   5,949.88 : 8,214.78 = 5,578.18 : x
2. Step 2: Convert to fraction form
   5,949.88/8,214.78 = 5,578.18/x
3. Step 3: Cross multiply
   5,949.88x = 8,214.78 × 5,578.18
4. Step 4: Simplify right side
   5,949.88x = 45,823,521.50
5. Step 5: Solve for x
   x = 45,823,521.50/5,949.88
6. Step 6: Final answer
   x = 7,701.59