Finding the Fourth Proportional to 1,409.93, 1,945.37 and 820.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.93 : 1,945.37 = 820.11 : x
2. Step 2: Convert to fraction form
   1,409.93/1,945.37 = 820.11/x
3. Step 3: Cross multiply
   1,409.93x = 1,945.37 × 820.11
4. Step 4: Simplify right side
   1,409.93x = 1,595,413.29
5. Step 5: Solve for x
   x = 1,595,413.29/1,409.93
6. Step 6: Final answer
   x = 1,131.56