Finding the Fourth Proportional to 1,409.93, 1,945.68 and 780.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.93 : 1,945.68 = 780.42 : x
2. Step 2: Convert to fraction form
   1,409.93/1,945.68 = 780.42/x
3. Step 3: Cross multiply
   1,409.93x = 1,945.68 × 780.42
4. Step 4: Simplify right side
   1,409.93x = 1,518,444.66
5. Step 5: Solve for x
   x = 1,518,444.66/1,409.93
6. Step 6: Final answer
   x = 1,076.97