Finding the Fourth Proportional to 1,409.72, 1,945.38 and 780.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.72 : 1,945.38 = 780.23 : x
2. Step 2: Convert to fraction form
   1,409.72/1,945.38 = 780.23/x
3. Step 3: Cross multiply
   1,409.72x = 1,945.38 × 780.23
4. Step 4: Simplify right side
   1,409.72x = 1,517,843.84
5. Step 5: Solve for x
   x = 1,517,843.84/1,409.72
6. Step 6: Final answer
   x = 1,076.70