Finding the Fourth Proportional to 1,410.20, 1,945.60 and 820.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.20 : 1,945.60 = 820.25 : x
2. Step 2: Convert to fraction form
   1,410.20/1,945.60 = 820.25/x
3. Step 3: Cross multiply
   1,410.20x = 1,945.60 × 820.25
4. Step 4: Simplify right side
   1,410.20x = 1,595,878.40
5. Step 5: Solve for x
   x = 1,595,878.40/1,410.20
6. Step 6: Final answer
   x = 1,131.67