Finding the Fourth Proportional to 2,362.50, 3,545.37 and 823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,362.50 : 3,545.37 = 823.50 : x
2. Step 2: Convert to fraction form
   2,362.50/3,545.37 = 823.50/x
3. Step 3: Cross multiply
   2,362.50x = 3,545.37 × 823.50
4. Step 4: Simplify right side
   2,362.50x = 2,919,612.20
5. Step 5: Solve for x
   x = 2,919,612.20/2,362.50
6. Step 6: Final answer
   x = 1,235.81