Finding the Fourth Proportional to 1,433.25, 1,978.16 and 812.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.25 : 1,978.16 = 812.25 : x
2. Step 2: Convert to fraction form
   1,433.25/1,978.16 = 812.25/x
3. Step 3: Cross multiply
   1,433.25x = 1,978.16 × 812.25
4. Step 4: Simplify right side
   1,433.25x = 1,606,756.40
5. Step 5: Solve for x
   x = 1,606,756.40/1,433.25
6. Step 6: Final answer
   x = 1,121.06