Finding the Fourth Proportional to 1,466.56, 2,023.83 and 803.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,466.56 : 2,023.83 = 803.40 : x
2. Step 2: Convert to fraction form
   1,466.56/2,023.83 = 803.40/x
3. Step 3: Cross multiply
   1,466.56x = 2,023.83 × 803.40
4. Step 4: Simplify right side
   1,466.56x = 1,625,945.02
5. Step 5: Solve for x
   x = 1,625,945.02/1,466.56
6. Step 6: Final answer
   x = 1,108.68