Finding the Fourth Proportional to 2,356.74, 3,533.82 and 796.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,356.74 : 3,533.82 = 796.22 : x
2. Step 2: Convert to fraction form
   2,356.74/3,533.82 = 796.22/x
3. Step 3: Cross multiply
   2,356.74x = 3,533.82 × 796.22
4. Step 4: Simplify right side
   2,356.74x = 2,813,698.16
5. Step 5: Solve for x
   x = 2,813,698.16/2,356.74
6. Step 6: Final answer
   x = 1,193.89