Finding the Fourth Proportional to 1,410.48, 1,946.24 and 820.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.48 : 1,946.24 = 820.96 : x
2. Step 2: Convert to fraction form
   1,410.48/1,946.24 = 820.96/x
3. Step 3: Cross multiply
   1,410.48x = 1,946.24 × 820.96
4. Step 4: Simplify right side
   1,410.48x = 1,597,785.19
5. Step 5: Solve for x
   x = 1,597,785.19/1,410.48
6. Step 6: Final answer
   x = 1,132.80