Finding the Fourth Proportional to 7,086.58, 9,779.10 and 3,942.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,086.58 : 9,779.10 = 3,942.56 : x
2. Step 2: Convert to fraction form
   7,086.58/9,779.10 = 3,942.56/x
3. Step 3: Cross multiply
   7,086.58x = 9,779.10 × 3,942.56
4. Step 4: Simplify right side
   7,086.58x = 38,554,698.16
5. Step 5: Solve for x
   x = 38,554,698.16/7,086.58
6. Step 6: Final answer
   x = 5,440.52