Finding the Fourth Proportional to 6,784.09, 10,179.06 and 3,663.47

Step by Step Solution

1. Step 1: Write the proportion equation
   6,784.09 : 10,179.06 = 3,663.47 : x
2. Step 2: Convert to fraction form
   6,784.09/10,179.06 = 3,663.47/x
3. Step 3: Cross multiply
   6,784.09x = 10,179.06 × 3,663.47
4. Step 4: Simplify right side
   6,784.09x = 37,290,706.39
5. Step 5: Solve for x
   x = 37,290,706.39/6,784.09
6. Step 6: Final answer
   x = 5,496.79