Finding the Fourth Proportional to 1,365.50, 1,884.33 and 805.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.50 : 1,884.33 = 805.98 : x
2. Step 2: Convert to fraction form
   1,365.50/1,884.33 = 805.98/x
3. Step 3: Cross multiply
   1,365.50x = 1,884.33 × 805.98
4. Step 4: Simplify right side
   1,365.50x = 1,518,732.29
5. Step 5: Solve for x
   x = 1,518,732.29/1,365.50
6. Step 6: Final answer
   x = 1,112.22