Finding the Fourth Proportional to 1,409.79, 1,945.64 and 820.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.79 : 1,945.64 = 820.37 : x
2. Step 2: Convert to fraction form
   1,409.79/1,945.64 = 820.37/x
3. Step 3: Cross multiply
   1,409.79x = 1,945.64 × 820.37
4. Step 4: Simplify right side
   1,409.79x = 1,596,130.86
5. Step 5: Solve for x
   x = 1,596,130.86/1,409.79
6. Step 6: Final answer
   x = 1,132.18