Finding the Fourth Proportional to 1,022.28, 1,535.27 and 916.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.28 : 1,535.27 = 916.58 : x
2. Step 2: Convert to fraction form
   1,022.28/1,535.27 = 916.58/x
3. Step 3: Cross multiply
   1,022.28x = 1,535.27 × 916.58
4. Step 4: Simplify right side
   1,022.28x = 1,407,185.52
5. Step 5: Solve for x
   x = 1,407,185.52/1,022.28
6. Step 6: Final answer
   x = 1,376.52