Finding the Fourth Proportional to 1,518.98, 2,277.43 and 776.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,518.98 : 2,277.43 = 776.78 : x
2. Step 2: Convert to fraction form
   1,518.98/2,277.43 = 776.78/x
3. Step 3: Cross multiply
   1,518.98x = 2,277.43 × 776.78
4. Step 4: Simplify right side
   1,518.98x = 1,769,048.75
5. Step 5: Solve for x
   x = 1,769,048.75/1,518.98
6. Step 6: Final answer
   x = 1,164.63