Finding the Fourth Proportional to 1,355.99, 1,871.25 and 766.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,355.99 : 1,871.25 = 766.52 : x
2. Step 2: Convert to fraction form
   1,355.99/1,871.25 = 766.52/x
3. Step 3: Cross multiply
   1,355.99x = 1,871.25 × 766.52
4. Step 4: Simplify right side
   1,355.99x = 1,434,357.14
5. Step 5: Solve for x
   x = 1,434,357.14/1,355.99
6. Step 6: Final answer
   x = 1,057.80