Finding the Fourth Proportional to 2,665.81, 3,998.53 and 1,022.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.81 : 3,998.53 = 1,022.53 : x
2. Step 2: Convert to fraction form
   2,665.81/3,998.53 = 1,022.53/x
3. Step 3: Cross multiply
   2,665.81x = 3,998.53 × 1,022.53
4. Step 4: Simplify right side
   2,665.81x = 4,088,616.88
5. Step 5: Solve for x
   x = 4,088,616.88/2,665.81
6. Step 6: Final answer
   x = 1,533.72