Finding the Fourth Proportional to 1,409.61, 1,945.34 and 820.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.61 : 1,945.34 = 820.29 : x
2. Step 2: Convert to fraction form
   1,409.61/1,945.34 = 820.29/x
3. Step 3: Cross multiply
   1,409.61x = 1,945.34 × 820.29
4. Step 4: Simplify right side
   1,409.61x = 1,595,738.85
5. Step 5: Solve for x
   x = 1,595,738.85/1,409.61
6. Step 6: Final answer
   x = 1,132.04