Finding the Fourth Proportional to 1,409.63, 1,945.42 and 820.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.63 : 1,945.42 = 820.13 : x
2. Step 2: Convert to fraction form
   1,409.63/1,945.42 = 820.13/x
3. Step 3: Cross multiply
   1,409.63x = 1,945.42 × 820.13
4. Step 4: Simplify right side
   1,409.63x = 1,595,490.72
5. Step 5: Solve for x
   x = 1,595,490.72/1,409.63
6. Step 6: Final answer
   x = 1,131.85