Finding the Fourth Proportional to 1,152.98, 1,591.57 and 779.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.98 : 1,591.57 = 779.78 : x
2. Step 2: Convert to fraction form
   1,152.98/1,591.57 = 779.78/x
3. Step 3: Cross multiply
   1,152.98x = 1,591.57 × 779.78
4. Step 4: Simplify right side
   1,152.98x = 1,241,074.45
5. Step 5: Solve for x
   x = 1,241,074.45/1,152.98
6. Step 6: Final answer
   x = 1,076.41