Finding the Fourth Proportional to 1,410.11, 1,946.03 and 820.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.11 : 1,946.03 = 820.79 : x
2. Step 2: Convert to fraction form
   1,410.11/1,946.03 = 820.79/x
3. Step 3: Cross multiply
   1,410.11x = 1,946.03 × 820.79
4. Step 4: Simplify right side
   1,410.11x = 1,597,277.86
5. Step 5: Solve for x
   x = 1,597,277.86/1,410.11
6. Step 6: Final answer
   x = 1,132.73