Finding the Fourth Proportional to 2,968.86, 4,096.83 and 1,642.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,968.86 : 4,096.83 = 1,642.62 : x
2. Step 2: Convert to fraction form
   2,968.86/4,096.83 = 1,642.62/x
3. Step 3: Cross multiply
   2,968.86x = 4,096.83 × 1,642.62
4. Step 4: Simplify right side
   2,968.86x = 6,729,534.89
5. Step 5: Solve for x
   x = 6,729,534.89/2,968.86
6. Step 6: Final answer
   x = 2,266.71