Finding the Fourth Proportional to 1,410.16, 1,946.28 and 820.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.16 : 1,946.28 = 820.84 : x
2. Step 2: Convert to fraction form
   1,410.16/1,946.28 = 820.84/x
3. Step 3: Cross multiply
   1,410.16x = 1,946.28 × 820.84
4. Step 4: Simplify right side
   1,410.16x = 1,597,584.48
5. Step 5: Solve for x
   x = 1,597,584.48/1,410.16
6. Step 6: Final answer
   x = 1,132.91