Finding the Fourth Proportional to 1,409.75, 1,945.91 and 820.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.75 : 1,945.91 = 820.17 : x
2. Step 2: Convert to fraction form
   1,409.75/1,945.91 = 820.17/x
3. Step 3: Cross multiply
   1,409.75x = 1,945.91 × 820.17
4. Step 4: Simplify right side
   1,409.75x = 1,595,972.90
5. Step 5: Solve for x
   x = 1,595,972.90/1,409.75
6. Step 6: Final answer
   x = 1,132.10