Finding the Fourth Proportional to 1,222.50, 1,835.77 and 801.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.50 : 1,835.77 = 801.05 : x
2. Step 2: Convert to fraction form
   1,222.50/1,835.77 = 801.05/x
3. Step 3: Cross multiply
   1,222.50x = 1,835.77 × 801.05
4. Step 4: Simplify right side
   1,222.50x = 1,470,535.73
5. Step 5: Solve for x
   x = 1,470,535.73/1,222.50
6. Step 6: Final answer
   x = 1,202.89