Finding the Fourth Proportional to 6,787.82, 10,227.98 and 5,582.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,787.82 : 10,227.98 = 5,582.24 : x
2. Step 2: Convert to fraction form
   6,787.82/10,227.98 = 5,582.24/x
3. Step 3: Cross multiply
   6,787.82x = 10,227.98 × 5,582.24
4. Step 4: Simplify right side
   6,787.82x = 57,095,039.08
5. Step 5: Solve for x
   x = 57,095,039.08/6,787.82
6. Step 6: Final answer
   x = 8,411.40