Finding the Fourth Proportional to 6,787.98, 10,184.94 and 3,664.35

Step by Step Solution

1. Step 1: Write the proportion equation
   6,787.98 : 10,184.94 = 3,664.35 : x
2. Step 2: Convert to fraction form
   6,787.98/10,184.94 = 3,664.35/x
3. Step 3: Cross multiply
   6,787.98x = 10,184.94 × 3,664.35
4. Step 4: Simplify right side
   6,787.98x = 37,321,184.89
5. Step 5: Solve for x
   x = 37,321,184.89/6,787.98
6. Step 6: Final answer
   x = 5,498.13