Finding the Fourth Proportional to 1,365.32, 1,884.10 and 805.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.32 : 1,884.10 = 805.83 : x
2. Step 2: Convert to fraction form
   1,365.32/1,884.10 = 805.83/x
3. Step 3: Cross multiply
   1,365.32x = 1,884.10 × 805.83
4. Step 4: Simplify right side
   1,365.32x = 1,518,264.30
5. Step 5: Solve for x
   x = 1,518,264.30/1,365.32
6. Step 6: Final answer
   x = 1,112.02