Finding the Fourth Proportional to 1,505.91, 2,078.29 and 842.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.91 : 2,078.29 = 842.82 : x
2. Step 2: Convert to fraction form
   1,505.91/2,078.29 = 842.82/x
3. Step 3: Cross multiply
   1,505.91x = 2,078.29 × 842.82
4. Step 4: Simplify right side
   1,505.91x = 1,751,624.38
5. Step 5: Solve for x
   x = 1,751,624.38/1,505.91
6. Step 6: Final answer
   x = 1,163.17