Finding the Fourth Proportional to 7,185.71, 10,779.78 and 3,290.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,185.71 : 10,779.78 = 3,290.42 : x
2. Step 2: Convert to fraction form
   7,185.71/10,779.78 = 3,290.42/x
3. Step 3: Cross multiply
   7,185.71x = 10,779.78 × 3,290.42
4. Step 4: Simplify right side
   7,185.71x = 35,470,003.71
5. Step 5: Solve for x
   x = 35,470,003.71/7,185.71
6. Step 6: Final answer
   x = 4,936.19