Finding the Fourth Proportional to 1,410.37, 1,946.30 and 820.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.37 : 1,946.30 = 820.94 : x
2. Step 2: Convert to fraction form
   1,410.37/1,946.30 = 820.94/x
3. Step 3: Cross multiply
   1,410.37x = 1,946.30 × 820.94
4. Step 4: Simplify right side
   1,410.37x = 1,597,791.42
5. Step 5: Solve for x
   x = 1,597,791.42/1,410.37
6. Step 6: Final answer
   x = 1,132.89