Finding the Fourth Proportional to 1,227.83, 1,842.37 and 765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.83 : 1,842.37 = 765.50 : x
2. Step 2: Convert to fraction form
   1,227.83/1,842.37 = 765.50/x
3. Step 3: Cross multiply
   1,227.83x = 1,842.37 × 765.50
4. Step 4: Simplify right side
   1,227.83x = 1,410,336.93
5. Step 5: Solve for x
   x = 1,410,336.93/1,227.83
6. Step 6: Final answer
   x = 1,148.64