Finding the Fourth Proportional to 1,178.82, 1,625.94 and 805.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.82 : 1,625.94 = 805.23 : x
2. Step 2: Convert to fraction form
   1,178.82/1,625.94 = 805.23/x
3. Step 3: Cross multiply
   1,178.82x = 1,625.94 × 805.23
4. Step 4: Simplify right side
   1,178.82x = 1,309,255.67
5. Step 5: Solve for x
   x = 1,309,255.67/1,178.82
6. Step 6: Final answer
   x = 1,110.65