Finding the Fourth Proportional to 1,665.16, 2,297.96 and 919.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.16 : 2,297.96 = 919.20 : x
2. Step 2: Convert to fraction form
   1,665.16/2,297.96 = 919.20/x
3. Step 3: Cross multiply
   1,665.16x = 2,297.96 × 919.20
4. Step 4: Simplify right side
   1,665.16x = 2,112,284.83
5. Step 5: Solve for x
   x = 2,112,284.83/1,665.16
6. Step 6: Final answer
   x = 1,268.52