Finding the Fourth Proportional to 1,323.78, 1,826.73 and 800.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,323.78 : 1,826.73 = 800.10 : x
2. Step 2: Convert to fraction form
   1,323.78/1,826.73 = 800.10/x
3. Step 3: Cross multiply
   1,323.78x = 1,826.73 × 800.10
4. Step 4: Simplify right side
   1,323.78x = 1,461,566.67
5. Step 5: Solve for x
   x = 1,461,566.67/1,323.78
6. Step 6: Final answer
   x = 1,104.09