Finding the Fourth Proportional to 1,410.48, 1,946.28 and 820.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.48 : 1,946.28 = 820.92 : x
2. Step 2: Convert to fraction form
   1,410.48/1,946.28 = 820.92/x
3. Step 3: Cross multiply
   1,410.48x = 1,946.28 × 820.92
4. Step 4: Simplify right side
   1,410.48x = 1,597,740.18
5. Step 5: Solve for x
   x = 1,597,740.18/1,410.48
6. Step 6: Final answer
   x = 1,132.76