Finding the Fourth Proportional to 1,657.82, 2,287.80 and 911.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,657.82 : 2,287.80 = 911.86 : x
2. Step 2: Convert to fraction form
   1,657.82/2,287.80 = 911.86/x
3. Step 3: Cross multiply
   1,657.82x = 2,287.80 × 911.86
4. Step 4: Simplify right side
   1,657.82x = 2,086,147.59
5. Step 5: Solve for x
   x = 2,086,147.59/1,657.82
6. Step 6: Final answer
   x = 1,258.37