Finding the Fourth Proportional to 1,410.35, 1,945.89 and 820.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.35 : 1,945.89 = 820.80 : x
2. Step 2: Convert to fraction form
   1,410.35/1,945.89 = 820.80/x
3. Step 3: Cross multiply
   1,410.35x = 1,945.89 × 820.80
4. Step 4: Simplify right side
   1,410.35x = 1,597,186.51
5. Step 5: Solve for x
   x = 1,597,186.51/1,410.35
6. Step 6: Final answer
   x = 1,132.48