Finding the Fourth Proportional to 1,222.07, 1,830.73 and 809.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.07 : 1,830.73 = 809.98 : x
2. Step 2: Convert to fraction form
   1,222.07/1,830.73 = 809.98/x
3. Step 3: Cross multiply
   1,222.07x = 1,830.73 × 809.98
4. Step 4: Simplify right side
   1,222.07x = 1,482,854.69
5. Step 5: Solve for x
   x = 1,482,854.69/1,222.07
6. Step 6: Final answer
   x = 1,213.40