Finding the Fourth Proportional to 1,410.36, 1,946.12 and 820.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.36 : 1,946.12 = 820.80 : x
2. Step 2: Convert to fraction form
   1,410.36/1,946.12 = 820.80/x
3. Step 3: Cross multiply
   1,410.36x = 1,946.12 × 820.80
4. Step 4: Simplify right side
   1,410.36x = 1,597,375.30
5. Step 5: Solve for x
   x = 1,597,375.30/1,410.36
6. Step 6: Final answer
   x = 1,132.60