Finding the Fourth Proportional to 1,505.28, 2,258.52 and 775.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.28 : 2,258.52 = 775.32 : x
2. Step 2: Convert to fraction form
   1,505.28/2,258.52 = 775.32/x
3. Step 3: Cross multiply
   1,505.28x = 2,258.52 × 775.32
4. Step 4: Simplify right side
   1,505.28x = 1,751,075.73
5. Step 5: Solve for x
   x = 1,751,075.73/1,505.28
6. Step 6: Final answer
   x = 1,163.29