Finding the Fourth Proportional to 1,323.82, 1,827.78 and 800.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.82 : 1,827.78 = 800.76 : x
2. Step 2: Convert to fraction form
   1,323.82/1,827.78 = 800.76/x
3. Step 3: Cross multiply
   1,323.82x = 1,827.78 × 800.76
4. Step 4: Simplify right side
   1,323.82x = 1,463,613.11
5. Step 5: Solve for x
   x = 1,463,613.11/1,323.82
6. Step 6: Final answer
   x = 1,105.60