Finding the Fourth Proportional to 1,505.71, 2,078.07 and 842.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.71 : 2,078.07 = 842.61 : x
2. Step 2: Convert to fraction form
   1,505.71/2,078.07 = 842.61/x
3. Step 3: Cross multiply
   1,505.71x = 2,078.07 × 842.61
4. Step 4: Simplify right side
   1,505.71x = 1,751,002.56
5. Step 5: Solve for x
   x = 1,751,002.56/1,505.71
6. Step 6: Final answer
   x = 1,162.91