Finding the Fourth Proportional to 1,978.62, 2,968.42 and 1,157.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.62 : 2,968.42 = 1,157.58 : x
2. Step 2: Convert to fraction form
   1,978.62/2,968.42 = 1,157.58/x
3. Step 3: Cross multiply
   1,978.62x = 2,968.42 × 1,157.58
4. Step 4: Simplify right side
   1,978.62x = 3,436,183.62
5. Step 5: Solve for x
   x = 3,436,183.62/1,978.62
6. Step 6: Final answer
   x = 1,736.66