Finding the Fourth Proportional to 1,409.62, 1,945.23 and 780.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.62 : 1,945.23 = 780.12 : x
2. Step 2: Convert to fraction form
   1,409.62/1,945.23 = 780.12/x
3. Step 3: Cross multiply
   1,409.62x = 1,945.23 × 780.12
4. Step 4: Simplify right side
   1,409.62x = 1,517,519.64
5. Step 5: Solve for x
   x = 1,517,519.64/1,409.62
6. Step 6: Final answer
   x = 1,076.55