Finding the Fourth Proportional to 1,355.83, 1,871.04 and 766.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.83 : 1,871.04 = 766.36 : x
2. Step 2: Convert to fraction form
   1,355.83/1,871.04 = 766.36/x
3. Step 3: Cross multiply
   1,355.83x = 1,871.04 × 766.36
4. Step 4: Simplify right side
   1,355.83x = 1,433,890.21
5. Step 5: Solve for x
   x = 1,433,890.21/1,355.83
6. Step 6: Final answer
   x = 1,057.57