Finding the Fourth Proportional to 1,409.86, 1,945.47 and 820.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.86 : 1,945.47 = 820.33 : x
2. Step 2: Convert to fraction form
   1,409.86/1,945.47 = 820.33/x
3. Step 3: Cross multiply
   1,409.86x = 1,945.47 × 820.33
4. Step 4: Simplify right side
   1,409.86x = 1,595,927.41
5. Step 5: Solve for x
   x = 1,595,927.41/1,409.86
6. Step 6: Final answer
   x = 1,131.98