Finding the Fourth Proportional to 1,406.93, 1,941.69 and 809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.93 : 1,941.69 = 809.50 : x
2. Step 2: Convert to fraction form
   1,406.93/1,941.69 = 809.50/x
3. Step 3: Cross multiply
   1,406.93x = 1,941.69 × 809.50
4. Step 4: Simplify right side
   1,406.93x = 1,571,798.06
5. Step 5: Solve for x
   x = 1,571,798.06/1,406.93
6. Step 6: Final answer
   x = 1,117.18