Finding the Fourth Proportional to 1,355.93, 1,871.29 and 766.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.93 : 1,871.29 = 766.57 : x
2. Step 2: Convert to fraction form
   1,355.93/1,871.29 = 766.57/x
3. Step 3: Cross multiply
   1,355.93x = 1,871.29 × 766.57
4. Step 4: Simplify right side
   1,355.93x = 1,434,474.78
5. Step 5: Solve for x
   x = 1,434,474.78/1,355.93
6. Step 6: Final answer
   x = 1,057.93