Finding the Fourth Proportional to 1,409.60, 1,945.20 and 820.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.60 : 1,945.20 = 820.04 : x
2. Step 2: Convert to fraction form
   1,409.60/1,945.20 = 820.04/x
3. Step 3: Cross multiply
   1,409.60x = 1,945.20 × 820.04
4. Step 4: Simplify right side
   1,409.60x = 1,595,141.81
5. Step 5: Solve for x
   x = 1,595,141.81/1,409.60
6. Step 6: Final answer
   x = 1,131.63