Finding the Fourth Proportional to 1,410.84, 1,946.48 and 820.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.84 : 1,946.48 = 820.98 : x
2. Step 2: Convert to fraction form
   1,410.84/1,946.48 = 820.98/x
3. Step 3: Cross multiply
   1,410.84x = 1,946.48 × 820.98
4. Step 4: Simplify right side
   1,410.84x = 1,598,017.05
5. Step 5: Solve for x
   x = 1,598,017.05/1,410.84
6. Step 6: Final answer
   x = 1,132.67