Finding the Fourth Proportional to 1,406.96, 1,941.58 and 817.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.96 : 1,941.58 = 817.82 : x
2. Step 2: Convert to fraction form
   1,406.96/1,941.58 = 817.82/x
3. Step 3: Cross multiply
   1,406.96x = 1,941.58 × 817.82
4. Step 4: Simplify right side
   1,406.96x = 1,587,862.96
5. Step 5: Solve for x
   x = 1,587,862.96/1,406.96
6. Step 6: Final answer
   x = 1,128.58