Finding the Fourth Proportional to 1,409.52, 1,945.11 and 780.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.52 : 1,945.11 = 780.09 : x
2. Step 2: Convert to fraction form
   1,409.52/1,945.11 = 780.09/x
3. Step 3: Cross multiply
   1,409.52x = 1,945.11 × 780.09
4. Step 4: Simplify right side
   1,409.52x = 1,517,360.86
5. Step 5: Solve for x
   x = 1,517,360.86/1,409.52
6. Step 6: Final answer
   x = 1,076.51