Finding the Fourth Proportional to 1,409.95, 1,945.58 and 780.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.95 : 1,945.58 = 780.46 : x
2. Step 2: Convert to fraction form
   1,409.95/1,945.58 = 780.46/x
3. Step 3: Cross multiply
   1,409.95x = 1,945.58 × 780.46
4. Step 4: Simplify right side
   1,409.95x = 1,518,433.74
5. Step 5: Solve for x
   x = 1,518,433.74/1,409.95
6. Step 6: Final answer
   x = 1,076.95