Finding the Fourth Proportional to 1,227.59, 1,842.00 and 765.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.59 : 1,842.00 = 765.26 : x
2. Step 2: Convert to fraction form
   1,227.59/1,842.00 = 765.26/x
3. Step 3: Cross multiply
   1,227.59x = 1,842.00 × 765.26
4. Step 4: Simplify right side
   1,227.59x = 1,409,595.88
5. Step 5: Solve for x
   x = 1,409,595.88/1,227.59
6. Step 6: Final answer
   x = 1,148.27