Finding the Fourth Proportional to 2,665.74, 3,999.24 and 1,022.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.74 : 3,999.24 = 1,022.25 : x
2. Step 2: Convert to fraction form
   2,665.74/3,999.24 = 1,022.25/x
3. Step 3: Cross multiply
   2,665.74x = 3,999.24 × 1,022.25
4. Step 4: Simplify right side
   2,665.74x = 4,088,223.09
5. Step 5: Solve for x
   x = 4,088,223.09/2,665.74
6. Step 6: Final answer
   x = 1,533.62