Finding the Fourth Proportional to 1,433.09, 1,977.74 and 803.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.09 : 1,977.74 = 803.63 : x
2. Step 2: Convert to fraction form
   1,433.09/1,977.74 = 803.63/x
3. Step 3: Cross multiply
   1,433.09x = 1,977.74 × 803.63
4. Step 4: Simplify right side
   1,433.09x = 1,589,357.29
5. Step 5: Solve for x
   x = 1,589,357.29/1,433.09
6. Step 6: Final answer
   x = 1,109.05