Finding the Fourth Proportional to 1,433.16, 1,977.62 and 811.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.16 : 1,977.62 = 811.72 : x
2. Step 2: Convert to fraction form
   1,433.16/1,977.62 = 811.72/x
3. Step 3: Cross multiply
   1,433.16x = 1,977.62 × 811.72
4. Step 4: Simplify right side
   1,433.16x = 1,605,273.71
5. Step 5: Solve for x
   x = 1,605,273.71/1,433.16
6. Step 6: Final answer
   x = 1,120.09