Finding the Fourth Proportional to 1,300.57, 1,794.49 and 776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.57 : 1,794.49 = 776.50 : x
2. Step 2: Convert to fraction form
   1,300.57/1,794.49 = 776.50/x
3. Step 3: Cross multiply
   1,300.57x = 1,794.49 × 776.50
4. Step 4: Simplify right side
   1,300.57x = 1,393,421.49
5. Step 5: Solve for x
   x = 1,393,421.49/1,300.57
6. Step 6: Final answer
   x = 1,071.39