Finding the Fourth Proportional to 2,646.34, 3,970.42 and 797.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.34 : 3,970.42 = 797.40 : x
2. Step 2: Convert to fraction form
   2,646.34/3,970.42 = 797.40/x
3. Step 3: Cross multiply
   2,646.34x = 3,970.42 × 797.40
4. Step 4: Simplify right side
   2,646.34x = 3,166,010.91
5. Step 5: Solve for x
   x = 3,166,010.91/2,646.34
6. Step 6: Final answer
   x = 1,196.37