Finding the Fourth Proportional to 1,409.73, 1,945.35 and 780.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.73 : 1,945.35 = 780.22 : x
2. Step 2: Convert to fraction form
   1,409.73/1,945.35 = 780.22/x
3. Step 3: Cross multiply
   1,409.73x = 1,945.35 × 780.22
4. Step 4: Simplify right side
   1,409.73x = 1,517,792.21
5. Step 5: Solve for x
   x = 1,517,792.21/1,409.73
6. Step 6: Final answer
   x = 1,076.66