Finding the Fourth Proportional to 1,021.02, 1,406.55 and 842.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,021.02 : 1,406.55 = 842.82 : x
2. Step 2: Convert to fraction form
   1,021.02/1,406.55 = 842.82/x
3. Step 3: Cross multiply
   1,021.02x = 1,406.55 × 842.82
4. Step 4: Simplify right side
   1,021.02x = 1,185,468.47
5. Step 5: Solve for x
   x = 1,185,468.47/1,021.02
6. Step 6: Final answer
   x = 1,161.06