Finding the Fourth Proportional to 1,409.62, 1,945.24 and 780.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.62 : 1,945.24 = 780.14 : x
2. Step 2: Convert to fraction form
   1,409.62/1,945.24 = 780.14/x
3. Step 3: Cross multiply
   1,409.62x = 1,945.24 × 780.14
4. Step 4: Simplify right side
   1,409.62x = 1,517,559.53
5. Step 5: Solve for x
   x = 1,517,559.53/1,409.62
6. Step 6: Final answer
   x = 1,076.57