Finding the Fourth Proportional to 1,410.15, 1,945.84 and 820.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.15 : 1,945.84 = 820.79 : x
2. Step 2: Convert to fraction form
   1,410.15/1,945.84 = 820.79/x
3. Step 3: Cross multiply
   1,410.15x = 1,945.84 × 820.79
4. Step 4: Simplify right side
   1,410.15x = 1,597,126.01
5. Step 5: Solve for x
   x = 1,597,126.01/1,410.15
6. Step 6: Final answer
   x = 1,132.59