Finding the Fourth Proportional to 1,231.98, 1,849.82 and 772.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,231.98 : 1,849.82 = 772.67 : x
2. Step 2: Convert to fraction form
   1,231.98/1,849.82 = 772.67/x
3. Step 3: Cross multiply
   1,231.98x = 1,849.82 × 772.67
4. Step 4: Simplify right side
   1,231.98x = 1,429,287.31
5. Step 5: Solve for x
   x = 1,429,287.31/1,231.98
6. Step 6: Final answer
   x = 1,160.15