Finding the Fourth Proportional to 1,410.03, 1,946.16 and 820.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.03 : 1,946.16 = 820.71 : x
2. Step 2: Convert to fraction form
   1,410.03/1,946.16 = 820.71/x
3. Step 3: Cross multiply
   1,410.03x = 1,946.16 × 820.71
4. Step 4: Simplify right side
   1,410.03x = 1,597,232.97
5. Step 5: Solve for x
   x = 1,597,232.97/1,410.03
6. Step 6: Final answer
   x = 1,132.77