Finding the Fourth Proportional to 1,505.86, 2,078.17 and 842.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.86 : 2,078.17 = 842.68 : x
2. Step 2: Convert to fraction form
   1,505.86/2,078.17 = 842.68/x
3. Step 3: Cross multiply
   1,505.86x = 2,078.17 × 842.68
4. Step 4: Simplify right side
   1,505.86x = 1,751,232.30
5. Step 5: Solve for x
   x = 1,751,232.30/1,505.86
6. Step 6: Final answer
   x = 1,162.94