Finding the Fourth Proportional to 1,409.97, 1,945.71 and 820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.97 : 1,945.71 = 820.50 : x
2. Step 2: Convert to fraction form
   1,409.97/1,945.71 = 820.50/x
3. Step 3: Cross multiply
   1,409.97x = 1,945.71 × 820.50
4. Step 4: Simplify right side
   1,409.97x = 1,596,455.06
5. Step 5: Solve for x
   x = 1,596,455.06/1,409.97
6. Step 6: Final answer
   x = 1,132.26