Finding the Fourth Proportional to 1,284.86, 1,771.47 and 842.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,284.86 : 1,771.47 = 842.00 : x
2. Step 2: Convert to fraction form
   1,284.86/1,771.47 = 842.00/x
3. Step 3: Cross multiply
   1,284.86x = 1,771.47 × 842.00
4. Step 4: Simplify right side
   1,284.86x = 1,491,568.88
5. Step 5: Solve for x
   x = 1,491,568.88/1,284.86
6. Step 6: Final answer
   x = 1,160.88