Finding the Fourth Proportional to 6,784.56, 10,178.34 and 3,664.47

Step by Step Solution

1. Step 1: Write the proportion equation
   6,784.56 : 10,178.34 = 3,664.47 : x
2. Step 2: Convert to fraction form
   6,784.56/10,178.34 = 3,664.47/x
3. Step 3: Cross multiply
   6,784.56x = 10,178.34 × 3,664.47
4. Step 4: Simplify right side
   6,784.56x = 37,298,221.58
5. Step 5: Solve for x
   x = 37,298,221.58/6,784.56
6. Step 6: Final answer
   x = 5,497.52