Finding the Fourth Proportional to 1,410.09, 1,946.03 and 820.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.09 : 1,946.03 = 820.77 : x
2. Step 2: Convert to fraction form
   1,410.09/1,946.03 = 820.77/x
3. Step 3: Cross multiply
   1,410.09x = 1,946.03 × 820.77
4. Step 4: Simplify right side
   1,410.09x = 1,597,238.94
5. Step 5: Solve for x
   x = 1,597,238.94/1,410.09
6. Step 6: Final answer
   x = 1,132.72