Finding the Fourth Proportional to 1,410.48, 1,946.41 and 820.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.48 : 1,946.41 = 820.98 : x
2. Step 2: Convert to fraction form
   1,410.48/1,946.41 = 820.98/x
3. Step 3: Cross multiply
   1,410.48x = 1,946.41 × 820.98
4. Step 4: Simplify right side
   1,410.48x = 1,597,963.68
5. Step 5: Solve for x
   x = 1,597,963.68/1,410.48
6. Step 6: Final answer
   x = 1,132.92