Finding the Fourth Proportional to 1,406.95, 1,941.57 and 809.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.95 : 1,941.57 = 809.43 : x
2. Step 2: Convert to fraction form
   1,406.95/1,941.57 = 809.43/x
3. Step 3: Cross multiply
   1,406.95x = 1,941.57 × 809.43
4. Step 4: Simplify right side
   1,406.95x = 1,571,565.01
5. Step 5: Solve for x
   x = 1,571,565.01/1,406.95
6. Step 6: Final answer
   x = 1,117.00