Finding the Fourth Proportional to 1,410.79, 1,946.46 and 820.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.79 : 1,946.46 = 820.91 : x
2. Step 2: Convert to fraction form
   1,410.79/1,946.46 = 820.91/x
3. Step 3: Cross multiply
   1,410.79x = 1,946.46 × 820.91
4. Step 4: Simplify right side
   1,410.79x = 1,597,868.48
5. Step 5: Solve for x
   x = 1,597,868.48/1,410.79
6. Step 6: Final answer
   x = 1,132.61