Finding the Fourth Proportional to 1,300.47, 1,794.63 and 769.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.47 : 1,794.63 = 769.71 : x
2. Step 2: Convert to fraction form
   1,300.47/1,794.63 = 769.71/x
3. Step 3: Cross multiply
   1,300.47x = 1,794.63 × 769.71
4. Step 4: Simplify right side
   1,300.47x = 1,381,354.27
5. Step 5: Solve for x
   x = 1,381,354.27/1,300.47
6. Step 6: Final answer
   x = 1,062.20