Finding the Fourth Proportional to 2,368.50, 3,552.78 and 829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,368.50 : 3,552.78 = 829.50 : x
2. Step 2: Convert to fraction form
   2,368.50/3,552.78 = 829.50/x
3. Step 3: Cross multiply
   2,368.50x = 3,552.78 × 829.50
4. Step 4: Simplify right side
   2,368.50x = 2,947,031.01
5. Step 5: Solve for x
   x = 2,947,031.01/2,368.50
6. Step 6: Final answer
   x = 1,244.26