Finding the Fourth Proportional to 1,410.67, 1,946.53 and 820.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.67 : 1,946.53 = 820.75 : x
2. Step 2: Convert to fraction form
   1,410.67/1,946.53 = 820.75/x
3. Step 3: Cross multiply
   1,410.67x = 1,946.53 × 820.75
4. Step 4: Simplify right side
   1,410.67x = 1,597,614.50
5. Step 5: Solve for x
   x = 1,597,614.50/1,410.67
6. Step 6: Final answer
   x = 1,132.52