Finding the Fourth Proportional to 1,433.24, 1,977.42 and 803.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.24 : 1,977.42 = 803.68 : x
2. Step 2: Convert to fraction form
   1,433.24/1,977.42 = 803.68/x
3. Step 3: Cross multiply
   1,433.24x = 1,977.42 × 803.68
4. Step 4: Simplify right side
   1,433.24x = 1,589,203.02
5. Step 5: Solve for x
   x = 1,589,203.02/1,433.24
6. Step 6: Final answer
   x = 1,108.82