Finding the Fourth Proportional to 1,406.41, 1,940.77 and 839.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.41 : 1,940.77 = 839.89 : x
2. Step 2: Convert to fraction form
   1,406.41/1,940.77 = 839.89/x
3. Step 3: Cross multiply
   1,406.41x = 1,940.77 × 839.89
4. Step 4: Simplify right side
   1,406.41x = 1,630,021.03
5. Step 5: Solve for x
   x = 1,630,021.03/1,406.41
6. Step 6: Final answer
   x = 1,158.99