Finding the Fourth Proportional to 1,355.88, 1,871.31 and 766.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.88 : 1,871.31 = 766.62 : x
2. Step 2: Convert to fraction form
   1,355.88/1,871.31 = 766.62/x
3. Step 3: Cross multiply
   1,355.88x = 1,871.31 × 766.62
4. Step 4: Simplify right side
   1,355.88x = 1,434,583.67
5. Step 5: Solve for x
   x = 1,434,583.67/1,355.88
6. Step 6: Final answer
   x = 1,058.05