Finding the Fourth Proportional to 2,357.49, 3,536.25 and 797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,357.49 : 3,536.25 = 797.50 : x
2. Step 2: Convert to fraction form
   2,357.49/3,536.25 = 797.50/x
3. Step 3: Cross multiply
   2,357.49x = 3,536.25 × 797.50
4. Step 4: Simplify right side
   2,357.49x = 2,820,164.23
5. Step 5: Solve for x
   x = 2,820,164.23/2,357.49
6. Step 6: Final answer
   x = 1,196.26