Finding the Fourth Proportional to 1,409.87, 1,945.59 and 780.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.87 : 1,945.59 = 780.44 : x
2. Step 2: Convert to fraction form
   1,409.87/1,945.59 = 780.44/x
3. Step 3: Cross multiply
   1,409.87x = 1,945.59 × 780.44
4. Step 4: Simplify right side
   1,409.87x = 1,518,416.26
5. Step 5: Solve for x
   x = 1,518,416.26/1,409.87
6. Step 6: Final answer
   x = 1,076.99