Finding the Fourth Proportional to 1,407.07, 1,941.91 and 809.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.07 : 1,941.91 = 809.59 : x
2. Step 2: Convert to fraction form
   1,407.07/1,941.91 = 809.59/x
3. Step 3: Cross multiply
   1,407.07x = 1,941.91 × 809.59
4. Step 4: Simplify right side
   1,407.07x = 1,572,147.68
5. Step 5: Solve for x
   x = 1,572,147.68/1,407.07
6. Step 6: Final answer
   x = 1,117.32