Finding the Fourth Proportional to 1,665.24, 2,298.05 and 919.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.24 : 2,298.05 = 919.20 : x
2. Step 2: Convert to fraction form
   1,665.24/2,298.05 = 919.20/x
3. Step 3: Cross multiply
   1,665.24x = 2,298.05 × 919.20
4. Step 4: Simplify right side
   1,665.24x = 2,112,367.56
5. Step 5: Solve for x
   x = 2,112,367.56/1,665.24
6. Step 6: Final answer
   x = 1,268.51