Finding the Fourth Proportional to 2,968.47, 4,096.32 and 1,642.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,968.47 : 4,096.32 = 1,642.10 : x
2. Step 2: Convert to fraction form
   2,968.47/4,096.32 = 1,642.10/x
3. Step 3: Cross multiply
   2,968.47x = 4,096.32 × 1,642.10
4. Step 4: Simplify right side
   2,968.47x = 6,726,546.59
5. Step 5: Solve for x
   x = 6,726,546.59/2,968.47
6. Step 6: Final answer
   x = 2,266.00