Finding the Fourth Proportional to 1,300.52, 1,794.20 and 776.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.52 : 1,794.20 = 776.72 : x
2. Step 2: Convert to fraction form
   1,300.52/1,794.20 = 776.72/x
3. Step 3: Cross multiply
   1,300.52x = 1,794.20 × 776.72
4. Step 4: Simplify right side
   1,300.52x = 1,393,591.02
5. Step 5: Solve for x
   x = 1,393,591.02/1,300.52
6. Step 6: Final answer
   x = 1,071.56