Finding the Fourth Proportional to 1,365.71, 1,884.20 and 805.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.71 : 1,884.20 = 805.80 : x
2. Step 2: Convert to fraction form
   1,365.71/1,884.20 = 805.80/x
3. Step 3: Cross multiply
   1,365.71x = 1,884.20 × 805.80
4. Step 4: Simplify right side
   1,365.71x = 1,518,280.95
5. Step 5: Solve for x
   x = 1,518,280.95/1,365.71
6. Step 6: Final answer
   x = 1,111.72