Finding the Fourth Proportional to 1,433.64, 1,978.38 and 812.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.64 : 1,978.38 = 812.64 : x
2. Step 2: Convert to fraction form
   1,433.64/1,978.38 = 812.64/x
3. Step 3: Cross multiply
   1,433.64x = 1,978.38 × 812.64
4. Step 4: Simplify right side
   1,433.64x = 1,607,710.72
5. Step 5: Solve for x
   x = 1,607,710.72/1,433.64
6. Step 6: Final answer
   x = 1,121.42