Finding the Fourth Proportional to 1,409.16, 1,945.10 and 885.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.16 : 1,945.10 = 885.20 : x
2. Step 2: Convert to fraction form
   1,409.16/1,945.10 = 885.20/x
3. Step 3: Cross multiply
   1,409.16x = 1,945.10 × 885.20
4. Step 4: Simplify right side
   1,409.16x = 1,721,788.37
5. Step 5: Solve for x
   x = 1,721,788.37/1,409.16
6. Step 6: Final answer
   x = 1,221.85