Finding the Fourth Proportional to 1,355.74, 1,871.01 and 766.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.74 : 1,871.01 = 766.33 : x
2. Step 2: Convert to fraction form
   1,355.74/1,871.01 = 766.33/x
3. Step 3: Cross multiply
   1,355.74x = 1,871.01 × 766.33
4. Step 4: Simplify right side
   1,355.74x = 1,433,801.74
5. Step 5: Solve for x
   x = 1,433,801.74/1,355.74
6. Step 6: Final answer
   x = 1,057.58