Finding the Fourth Proportional to 1,355.95, 1,871.22 and 766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.95 : 1,871.22 = 766.50 : x
2. Step 2: Convert to fraction form
   1,355.95/1,871.22 = 766.50/x
3. Step 3: Cross multiply
   1,355.95x = 1,871.22 × 766.50
4. Step 4: Simplify right side
   1,355.95x = 1,434,290.13
5. Step 5: Solve for x
   x = 1,434,290.13/1,355.95
6. Step 6: Final answer
   x = 1,057.78