Finding the Fourth Proportional to 6,784.71, 10,168.56 and 3,664.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,784.71 : 10,168.56 = 3,664.59 : x
2. Step 2: Convert to fraction form
   6,784.71/10,168.56 = 3,664.59/x
3. Step 3: Cross multiply
   6,784.71x = 10,168.56 × 3,664.59
4. Step 4: Simplify right side
   6,784.71x = 37,263,603.29
5. Step 5: Solve for x
   x = 37,263,603.29/6,784.71
6. Step 6: Final answer
   x = 5,492.29