Finding the Fourth Proportional to 1,410.30, 1,946.48 and 820.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.30 : 1,946.48 = 820.92 : x
2. Step 2: Convert to fraction form
   1,410.30/1,946.48 = 820.92/x
3. Step 3: Cross multiply
   1,410.30x = 1,946.48 × 820.92
4. Step 4: Simplify right side
   1,410.30x = 1,597,900.26
5. Step 5: Solve for x
   x = 1,597,900.26/1,410.30
6. Step 6: Final answer
   x = 1,133.02