Finding the Fourth Proportional to 1,410.12, 1,946.10 and 820.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.12 : 1,946.10 = 820.62 : x
2. Step 2: Convert to fraction form
   1,410.12/1,946.10 = 820.62/x
3. Step 3: Cross multiply
   1,410.12x = 1,946.10 × 820.62
4. Step 4: Simplify right side
   1,410.12x = 1,597,008.58
5. Step 5: Solve for x
   x = 1,597,008.58/1,410.12
6. Step 6: Final answer
   x = 1,132.53