Finding the Fourth Proportional to 1,227.69, 1,842.98 and 766.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.69 : 1,842.98 = 766.53 : x
2. Step 2: Convert to fraction form
   1,227.69/1,842.98 = 766.53/x
3. Step 3: Cross multiply
   1,227.69x = 1,842.98 × 766.53
4. Step 4: Simplify right side
   1,227.69x = 1,412,695.63
5. Step 5: Solve for x
   x = 1,412,695.63/1,227.69
6. Step 6: Final answer
   x = 1,150.69