Finding the Fourth Proportional to 1,100.82, 1,649.81 and 839.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.82 : 1,649.81 = 839.86 : x
2. Step 2: Convert to fraction form
   1,100.82/1,649.81 = 839.86/x
3. Step 3: Cross multiply
   1,100.82x = 1,649.81 × 839.86
4. Step 4: Simplify right side
   1,100.82x = 1,385,601.10
5. Step 5: Solve for x
   x = 1,385,601.10/1,100.82
6. Step 6: Final answer
   x = 1,258.70