Finding the Fourth Proportional to 1,410.14, 1,945.96 and 820.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.14 : 1,945.96 = 820.67 : x
2. Step 2: Convert to fraction form
   1,410.14/1,945.96 = 820.67/x
3. Step 3: Cross multiply
   1,410.14x = 1,945.96 × 820.67
4. Step 4: Simplify right side
   1,410.14x = 1,596,979.21
5. Step 5: Solve for x
   x = 1,596,979.21/1,410.14
6. Step 6: Final answer
   x = 1,132.49