Finding the Fourth Proportional to 1,410.25, 1,946.35 and 820.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.25 : 1,946.35 = 820.98 : x
2. Step 2: Convert to fraction form
   1,410.25/1,946.35 = 820.98/x
3. Step 3: Cross multiply
   1,410.25x = 1,946.35 × 820.98
4. Step 4: Simplify right side
   1,410.25x = 1,597,905.07
5. Step 5: Solve for x
   x = 1,597,905.07/1,410.25
6. Step 6: Final answer
   x = 1,133.06