Finding the Fourth Proportional to 2,872.27, 4,307.05 and 1,022.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,872.27 : 4,307.05 = 1,022.64 : x
2. Step 2: Convert to fraction form
   2,872.27/4,307.05 = 1,022.64/x
3. Step 3: Cross multiply
   2,872.27x = 4,307.05 × 1,022.64
4. Step 4: Simplify right side
   2,872.27x = 4,404,561.61
5. Step 5: Solve for x
   x = 4,404,561.61/2,872.27
6. Step 6: Final answer
   x = 1,533.48