Finding the Fourth Proportional to 1,233.18, 1,701.27 and 766.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.18 : 1,701.27 = 766.62 : x
2. Step 2: Convert to fraction form
   1,233.18/1,701.27 = 766.62/x
3. Step 3: Cross multiply
   1,233.18x = 1,701.27 × 766.62
4. Step 4: Simplify right side
   1,233.18x = 1,304,227.61
5. Step 5: Solve for x
   x = 1,304,227.61/1,233.18
6. Step 6: Final answer
   x = 1,057.61