Finding the Fourth Proportional to 1,355.83, 1,871.07 and 766.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.83 : 1,871.07 = 766.39 : x
2. Step 2: Convert to fraction form
   1,355.83/1,871.07 = 766.39/x
3. Step 3: Cross multiply
   1,355.83x = 1,871.07 × 766.39
4. Step 4: Simplify right side
   1,355.83x = 1,433,969.34
5. Step 5: Solve for x
   x = 1,433,969.34/1,355.83
6. Step 6: Final answer
   x = 1,057.63