Finding the Fourth Proportional to 2,665.88, 3,999.50 and 1,022.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.88 : 3,999.50 = 1,022.57 : x
2. Step 2: Convert to fraction form
   2,665.88/3,999.50 = 1,022.57/x
3. Step 3: Cross multiply
   2,665.88x = 3,999.50 × 1,022.57
4. Step 4: Simplify right side
   2,665.88x = 4,089,768.72
5. Step 5: Solve for x
   x = 4,089,768.72/2,665.88
6. Step 6: Final answer
   x = 1,534.12