Finding the Fourth Proportional to 1,665.14, 2,297.85 and 919.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.14 : 2,297.85 = 919.09 : x
2. Step 2: Convert to fraction form
   1,665.14/2,297.85 = 919.09/x
3. Step 3: Cross multiply
   1,665.14x = 2,297.85 × 919.09
4. Step 4: Simplify right side
   1,665.14x = 2,111,930.38
5. Step 5: Solve for x
   x = 2,111,930.38/1,665.14
6. Step 6: Final answer
   x = 1,268.32