Finding the Fourth Proportional to 1,407.68, 1,942.27 and 817.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.68 : 1,942.27 = 817.86 : x
2. Step 2: Convert to fraction form
   1,407.68/1,942.27 = 817.86/x
3. Step 3: Cross multiply
   1,407.68x = 1,942.27 × 817.86
4. Step 4: Simplify right side
   1,407.68x = 1,588,504.94
5. Step 5: Solve for x
   x = 1,588,504.94/1,407.68
6. Step 6: Final answer
   x = 1,128.46