Finding the Fourth Proportional to 1,022.61, 1,533.01 and 850.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.61 : 1,533.01 = 850.69 : x
2. Step 2: Convert to fraction form
   1,022.61/1,533.01 = 850.69/x
3. Step 3: Cross multiply
   1,022.61x = 1,533.01 × 850.69
4. Step 4: Simplify right side
   1,022.61x = 1,304,116.28
5. Step 5: Solve for x
   x = 1,304,116.28/1,022.61
6. Step 6: Final answer
   x = 1,275.28